Question 1

What is the area under the normal curve between z = 0.0 and z = 1.79?

Accepted Answer

A)  0.4633 
B)  0.0367 
C)  0.9599 
D)  0.0401 
A)  0.4633 
B)  0.0367 
C)  0.9599 
D)  0.0401

Question 2

i. The uniform probability distribution's standard deviation is proportional to the distribution's range.
ii. The uniform probability distribution is symmetric about the mode.
iii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a).

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 3

A sample of 500 evening students revealed that their annual incomes were normally distributed
With a mean income of $50,000 and a standard deviation of $4,000. How many students earned
More than $55,000?

Accepted Answer

A)  53 
B)  197 
C)  303 
D)  35 
A)  53 
B)  197 
C)  303 
D)  35

Question 4

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the
Completed orders. Assume this to be a binomial distribution. What is the standard deviation for this
Distribution?

Accepted Answer

A)  0.02 
B)  1.4 
C)  2 
D)  There is no standard deviation for this type of distribution. 
A)  0.02 
B)  1.4 
C)  2 
D)  There is no standard deviation for this type of distribution.

Question 5

What is the area under the normal curve between z = -1.0 and z = -2.0?

Accepted Answer

A)  0.0228 
B)  0.3413 
C)  0.1359 
D)  0.4772 
A)  0.0228 
B)  0.3413 
C)  0.1359 
D)  0.4772

Question 6

i. The uniform probability distribution's shape is a rectangle.
ii. The uniform probability distribution is symmetric about the mode.
iii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and
Maximum values.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (ii) and, (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (ii) and, (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 7

i. The uniform probability distribution is symmetric about the mean and median.
ii. The uniform probability distribution's shape is a rectangle.
iii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and
Maximum values.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 8

i. In a uniform probability distribution, P(x) is constant between the distribution's minimum and
Maximum values.
ii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a).
iii. The uniform probability distribution is symmetric about the mode.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 9

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a
Standard deviation of 5%. To earn an "A" on the test, a student must be in the top 5% of the class.
What should a student score to receive an "A"?

Accepted Answer

A)  80.84 
B)  75.49 
C)  78.2 
D)  76.90 
A)  80.84 
B)  75.49 
C)  78.2 
D)  76.90

Question 10

A sample of 500 evening students revealed that their annual incomes were normally distributed
With a mean income of $50,000 and a standard deviation of $4,000. What is the income that
Separates the top 25% from the lower 75% of the incomes?

Accepted Answer

A)  $2,680 
B)  $47,320 
C)  $50,000 
D)  $52,680 
A)  $2,680 
B)  $47,320 
C)  $50,000 
D)  $52,680

Question 11

A sample of 500 evening students revealed that their annual incomes from employment in industry
During the day were normally distributed with a mean income of $30,000 and a standard deviation
Of $3,000.
(i. 250 students earned more than $30,000.
(ii. 500 students earned between $20,000 and $40,000.
(iii) 6 students earned less than $22,500.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 12

Assuming that the food costs are normally distributed, what is the probability that a family
Spends less than $410 per month?

Accepted Answer

A)  0.2158 
B)  0.8750 
C)  0.0362 
D)  0.1151 
A)  0.2158 
B)  0.8750 
C)  0.0362 
D)  0.1151

Question 13

Two business major students, in two different sections of economics, were comparing test scores.
The following gives the students' scores, class mean, and standard deviation for each section.  
(i. The student from Section 2 scored better compared to the rest of their section.
(ii. The z-score of the student from section 1 is 1.28.
(iii) The z-score of the student from section 2 is 2.87.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 14

(i. The mean of a normal probability distribution is 60 and the standard deviation is 5. 95.44 percent
Of observations lie between 50 and 70.
(ii. A z-value of -2.00 indicates that corresponding X value lies to the left of the mean.
(iii) One of the properties of the normal curve is that it gets closer to the horizontal axis, but never
Touches it. This property of the normal curve is called asymptotic.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 15

A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation of ½
Ounces.
(i. The probability that a loaf of bread is between 20.75 and 23.25 ounces is 0.7662.
(ii. The probability that a loaf of bread is > 21 ounces is 0.9772.

Accepted Answer

A)  (i) and (ii) are correct statements. 
B)  (i) is a correct statement but not (ii). 
C)  (ii) is a correct statement but not (i). 
D)  (i) and (ii) are false statements. 
A)  (i) and (ii) are correct statements. 
B)  (i) is a correct statement but not (ii). 
C)  (ii) is a correct statement but not (i). 
D)  (i) and (ii) are false statements.

Question 16

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869.
(ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.6915.
(iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.0179.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 17

A major credit card company has determined that customers charge between $100 and $1,100 per
Month. Given that the average monthly amount charged is uniformly distributed, what is the
Standard deviation of the monthly amount charged?

Accepted Answer

A)  298.67 
B)  275.57 
C)  267.88 
D)  288.67 
A)  298.67 
B)  275.57 
C)  267.88 
D)  288.67

Question 18

i. In terms of a formula the standardized value of z is found by z = (X - µ)/σ.
ii. The standard normal distribution is a normal distribution with a mean of 0 and a standard
Deviation of less than 10.
iii. A computed z for X values to the left of the mean is positive.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (i), (ii), and (iii) are all false statements.

Question 19

A major credit card company has determined that customers charge between $100 and $1,100 per
Month. Given that the average monthly amount charged is uniformly distributed, what percent of
Monthly charges are between $600 and $889?

Accepted Answer

A)  28.9% 
B)  20.8% 
C)  26.2% 
D)  29.3% 
A)  28.9% 
B)  20.8% 
C)  26.2% 
D)  29.3%

Question 20

The annual commissions per salesperson employed by a manufacturer of light machinery averaged
$40,000 with a standard deviation of $5,000. What percent of the sales persons earn between
$32,000 and $42,000?

Accepted Answer

A)  60.06% 
B)  39.94% 
C)  34.13% 
D)  81.66% 
A)  60.06% 
B)  39.94% 
C)  34.13% 
D)  81.66%

What is the area under the normal curve between z = 0.0 and z = 1.79?

i. The uniform probability distribution's standard deviation is proportional to the distribution's range. ii. The uniform probability distribution is symmetric about the mode. iii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a).

A sample of 500 evening students revealed that their annual incomes were normally distributed With a mean income of $50,000 and a standard deviation of $4,000. How many students earned More than $55,000?

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the Completed orders. Assume this to be a binomial distribution. What is the standard deviation for this Distribution?

What is the area under the normal curve between z = -1.0 and z = -2.0?

i. The uniform probability distribution's shape is a rectangle. ii. The uniform probability distribution is symmetric about the mode. iii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and Maximum values.

i. The uniform probability distribution is symmetric about the mean and median. ii. The uniform probability distribution's shape is a rectangle. iii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and Maximum values.

i. In a uniform probability distribution, P(x) is constant between the distribution's minimum and Maximum values. ii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a). iii. The uniform probability distribution is symmetric about the mode.

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a Standard deviation of 5%. To earn an "A" on the test, a student must be in the top 5% of the class. What should a student score to receive an "A"?

A sample of 500 evening students revealed that their annual incomes were normally distributed With a mean income of $50,000 and a standard deviation of $4,000. What is the income that Separates the top 25% from the lower 75% of the incomes?

Assuming that the food costs are normally distributed, what is the probability that a family Spends less than $410 per month?

A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation of ½ Ounces. (i. The probability that a loaf of bread is between 20.75 and 23.25 ounces is 0.7662. (ii. The probability that a loaf of bread is > 21 ounces is 0.9772.

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869. (ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.6915. (iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.0179.

A major credit card company has determined that customers charge between $100 and $1,100 per Month. Given that the average monthly amount charged is uniformly distributed, what is the Standard deviation of the monthly amount charged?

i. In terms of a formula the standardized value of z is found by z = (X - µ)/σ. ii. The standard normal distribution is a normal distribution with a mean of 0 and a standard Deviation of less than 10. iii. A computed z for X values to the left of the mean is positive.

A major credit card company has determined that customers charge between $100 and $1,100 per Month. Given that the average monthly amount charged is uniformly distributed, what percent of Monthly charges are between $600 and $889?

The annual commissions per salesperson employed by a manufacturer of light machinery averaged $40,000 with a standard deviation of $5,000. What percent of the sales persons earn between $32,000 and $42,000?

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters

Exam 6: Discrete Probability Distributions

What is the area under the normal curve between z = 0.0 and z = 1.79?

i. The uniform probability distribution's standard deviation is proportional to the distribution's range. ii. The uniform probability distribution is symmetric about the mode. iii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a).

A sample of 500 evening students revealed that their annual incomes were normally distributed With a mean income of $50,000 and a standard deviation of $4,000. How many students earned More than $55,000?

Bottomline Ink, a forms management company, ﬁlls 100 orders a day with a 2% error rate in the Completed orders. Assume this to be a binomial distribution. What is the standard deviation for this Distribution?

What is the area under the normal curve between z = -1.0 and z = -2.0?

i. The uniform probability distribution's shape is a rectangle. ii. The uniform probability distribution is symmetric about the mode. iii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and Maximum values.

i. The uniform probability distribution is symmetric about the mean and median. ii. The uniform probability distribution's shape is a rectangle. iii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and Maximum values.

i. In a uniform probability distribution, P(x) is constant between the distribution's minimum and Maximum values. ii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a). iii. The uniform probability distribution is symmetric about the mode.

From past history, the scores on a statistics test are normally distributed with a mean of 70% and a Standard deviation of 5%. To earn an "A" on the test, a student must be in the top 5% of the class. What should a student score to receive an "A"?

A sample of 500 evening students revealed that their annual incomes were normally distributed With a mean income of $50,000 and a standard deviation of $4,000. What is the income that Separates the top 25% from the lower 75% of the incomes?

Assuming that the food costs are normally distributed, what is the probability that a family Spends less than $410 per month?

A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation of ½ Ounces. (i. The probability that a loaf of bread is between 20.75 and 23.25 ounces is 0.7662. (ii. The probability that a loaf of bread is > 21 ounces is 0.9772.

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869. (ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.6915. (iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.0179.

A major credit card company has determined that customers charge between $100 and $1,100 per Month. Given that the average monthly amount charged is uniformly distributed, what is the Standard deviation of the monthly amount charged?

i. In terms of a formula the standardized value of z is found by z = (X - µ)/σ. ii. The standard normal distribution is a normal distribution with a mean of 0 and a standard Deviation of less than 10. iii. A computed z for X values to the left of the mean is positive.

A major credit card company has determined that customers charge between $100 and $1,100 per Month. Given that the average monthly amount charged is uniformly distributed, what percent of Monthly charges are between $600 and $889?

The annual commissions per salesperson employed by a manufacturer of light machinery averaged $40,000 with a standard deviation of $5,000. What percent of the sales persons earn between $32,000 and $42,000?

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters