Question 1

Which of the following is NOT true regarding the normal distribution?

Accepted Answer

A)  Mean, median and mode are all equal 
B)  It has a single peak 
C)  It is symmetrical 
D)  The points of the curve meet the X-axis at z = -3 and z = 3 
A)  Mean, median and mode are all equal 
B)  It has a single peak 
C)  It is symmetrical 
D)  The points of the curve meet the X-axis at z = -3 and z = 3

Question 2

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike
Action. You take a sample of 50 voters. Assume this to be a binomial distribution.
What is the probability that more than 45 of the voters from your sample voted in favour of strike
Action?

Accepted Answer

A)  0.50 
B)  0.0948 
C)  0.5948 
D)  0.4052 
A)  0.50 
B)  0.0948 
C)  0.5948 
D)  0.4052

Question 3

i. The total area within any continuous probability distribution is equal to 1.00.
ii. For any continuous probability distribution, the probability, P(x), of any value of the random
Variable, X, can be computed.
iii. For any discrete probability distribution, the probability, P(x), of any value of the random variable,
X, can be computed.

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 4

For a standard normal distribution, what is the probability that z is greater than 1.75?

Accepted Answer

A)  0.0401 
B)  0.0459 
C)  0.4599 
D)  0.9599 
A)  0.0401 
B)  0.0459 
C)  0.4599 
D)  0.9599

Question 5

i. For a normal probability distribution, about 95 percent of the area under normal curve is within
Plus and minus two standard deviations of the mean and practically all (99.73 percent) of the area
Under the normal curve is within three standard deviations of the mean.
ii. The total area under the normal curve is 100%.
iii. The mean of a normal probability distribution is 500 and the standard deviation is 10.
About 95 percent of the observations lie between 480 and 520.

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 6

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 22.25 ounces is 0.0.
(ii. The probability that a loaf of bread is between 21.75 and 22.25 ounces is 0.3830.
(iii) The probability that a loaf of bread is < 24 ounces is 1.0.

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 7

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. 341 students earned between $27,000 and $33,000.
(iii) 290 students earned between $24,000 and $30,000.

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 8

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 probability that there will
Be more than 5 order errors in a given day?

Accepted Answer

A)  0.0155 
B)  0.4838 
C)  0.9838 
D)  2.1428 
A)  0.0155 
B)  0.4838 
C)  0.9838 
D)  2.1428

Question 9

A new extended-life light bulb has an average service life of 750 hours, with a standard deviation of
50 hours. If the service life of these light bulbs approximates a normal distribution, about what
Percent of the distribution will be between 600 hours and 900 hours?

Accepted Answer

A)  95% 
B)  68% 
C)  34% 
D)  99.7% 
A)  95% 
B)  68% 
C)  34% 
D)  99.7%

Question 10

The mean score of a college entrance test is 500; the standard deviation is 75. The scores are
Normally distributed. What percent of the students scored below 320?

Accepted Answer

A)  About 50.82% 
B)  About 34.13% 
C)  About 7.86% 
D)  About 0.82% 
A)  About 50.82% 
B)  About 34.13% 
C)  About 7.86% 
D)  About 0.82%

Question 11

i. The normal curve falls off smoothly in either direction from the central value. Since it is asymptotic,
The curve gets closer and closer to the X-axis, but never actually touches it.
ii. The mean (µ) divides the normal curve into two identical halves.
iii. The number of different normal distributions is unlimited.

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 12

The weights of cans of fruit are normally distributed with a mean of 1,000 grams and a standard
Deviation of 50 grams. What percent of the cans weigh 860 grams or less?

Accepted Answer

A)  About 1% 
B)  About 84% 
C)  About 0.26% 
D)  About 0.01% 
A)  About 1% 
B)  About 84% 
C)  About 0.26% 
D)  About 0.01%

Question 13

What is the area under the normal curve between z = 0.0 and z = 2.0?

Accepted Answer

A)  1.0000 
B)  0.7408 
C)  0.1359 
D)  0.4772 
A)  1.0000 
B)  0.7408 
C)  0.1359 
D)  0.4772

Question 14

The mean of a normal probability distribution is 500 and the standard deviation is 10. About 95
Percent of the observations lie between what two values?

Accepted Answer

A)  475 and 525 
B)  480 and 520 
C)  400 and 600 
D)  350 and 650 
A)  475 and 525 
B)  480 and 520 
C)  400 and 600 
D)  350 and 650

Question 15

i. Areas within a continuous probability distribution represent probabilities.
ii. The total area within any continuous probability distribution is equal to 1.00.
iii. For any discrete probability distribution, the probability, P(x), of any value of the random variable,
X, can be computed.

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 16

A new drug has been developed that is found to relieve nasal congestion in 90 percent of those
With the condition. The new drug is administered to 300 patients with the condition. What is the
Probability that more than 265 will be relieved of nasal congestion?

Accepted Answer

A)  0.0916 
B)  0.1922 
C)  0.8078 
D)  0.3078 
A)  0.0916 
B)  0.1922 
C)  0.8078 
D)  0.3078

Question 17

A cola-dispensing machine is set to dispense a mean of 2.02 litres into a container labelled 2 liters.
Actual quantities dispensed vary and the amounts are normally distributed with a standard deviation
Of 0.015 litres. What is the probability a container will have less than 2 litres?

Accepted Answer

A)  0.0918 
B)  0.3413 
C)  0.1926 
D)  0.8741 
A)  0.0918 
B)  0.3413 
C)  0.1926 
D)  0.8741

Question 18

i. Asymptotic, means that the normal curve gets closer and closer to the X-axis but never actually
Touches it.
ii. When referring to the normal probability function, there is not just one of them; there is a "family"
Of them.
iii. Some normal probability distributions have different arithmetic means and different standard
Deviations.

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 19

(i. About 95.5% percent of the area under the normal curve is within plus two and minus two
Standard deviations of the mean.
(ii. The normal distribution is a continuous probability distribution.
(iii) In a standard normal distribution, µ = 0 and σ = 1.

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 20

(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 75.
(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).

Which of the following is NOT true regarding the normal distribution?

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike Action. You take a sample of 50 voters. Assume this to be a binomial distribution. What is the probability that more than 45 of the voters from your sample voted in favour of strike Action?

For a standard normal distribution, what is the probability that z is greater than 1.75?

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 probability that there will Be more than 5 order errors in a given day?

A new extended-life light bulb has an average service life of 750 hours, with a standard deviation of 50 hours. If the service life of these light bulbs approximates a normal distribution, about what Percent of the distribution will be between 600 hours and 900 hours?

The mean score of a college entrance test is 500; the standard deviation is 75. The scores are Normally distributed. What percent of the students scored below 320?

The weights of cans of fruit are normally distributed with a mean of 1,000 grams and a standard Deviation of 50 grams. What percent of the cans weigh 860 grams or less?

What is the area under the normal curve between z = 0.0 and z = 2.0?

The mean of a normal probability distribution is 500 and the standard deviation is 10. About 95 Percent of the observations lie between what two values?

i. Areas within a continuous probability distribution represent probabilities. ii. The total area within any continuous probability distribution is equal to 1.00. iii. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.

A new drug has been developed that is found to relieve nasal congestion in 90 percent of those With the condition. The new drug is administered to 300 patients with the condition. What is the Probability that more than 265 will be relieved of nasal congestion?

A cola-dispensing machine is set to dispense a mean of 2.02 litres into a container labelled 2 liters. Actual quantities dispensed vary and the amounts are normally distributed with a standard deviation Of 0.015 litres. What is the probability a container will have less than 2 litres?

(i. About 95.5% percent of the area under the normal curve is within plus two and minus two Standard deviations of the mean. (ii. The normal distribution is a continuous probability distribution. (iii) In a standard normal distribution, µ = 0 and σ = 1.

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

Which of the following is NOT true regarding the normal distribution?

Tabulation of a strike vote showed that 90% of those voting cast their ballot in favour of strike Action. You take a sample of 50 voters. Assume this to be a binomial distribution. What is the probability that more than 45 of the voters from your sample voted in favour of strike Action?

For a standard normal distribution, what is the probability that z is greater than 1.75?

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 probability that there will Be more than 5 order errors in a given day?

A new extended-life light bulb has an average service life of 750 hours, with a standard deviation of 50 hours. If the service life of these light bulbs approximates a normal distribution, about what Percent of the distribution will be between 600 hours and 900 hours?

The mean score of a college entrance test is 500; the standard deviation is 75. The scores are Normally distributed. What percent of the students scored below 320?

The weights of cans of fruit are normally distributed with a mean of 1,000 grams and a standard Deviation of 50 grams. What percent of the cans weigh 860 grams or less?

What is the area under the normal curve between z = 0.0 and z = 2.0?

The mean of a normal probability distribution is 500 and the standard deviation is 10. About 95 Percent of the observations lie between what two values?

i. Areas within a continuous probability distribution represent probabilities. ii. The total area within any continuous probability distribution is equal to 1.00. iii. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.

A new drug has been developed that is found to relieve nasal congestion in 90 percent of those With the condition. The new drug is administered to 300 patients with the condition. What is the Probability that more than 265 will be relieved of nasal congestion?

A cola-dispensing machine is set to dispense a mean of 2.02 litres into a container labelled 2 liters. Actual quantities dispensed vary and the amounts are normally distributed with a standard deviation Of 0.015 litres. What is the probability a container will have less than 2 litres?

(i. About 95.5% percent of the area under the normal curve is within plus two and minus two Standard deviations of the mean. (ii. The normal distribution is a continuous probability distribution. (iii) In a standard normal distribution, µ = 0 and σ = 1.

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