Question 1

An exponential probability distribution

Accepted Answer

A) is a continuous distribution 
B) is a discrete distribution 
C) can be either continuous or discrete 
D) must be normally distributed 
A) is a continuous distribution 
B) is a discrete distribution 
C) can be either continuous or discrete 
D) must be normally distributed

Question 2

The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500.
a.The mayor of Daisy City makes $2,250 a month. What percentage of Daisy City's residents has incomes that are more than the mayor's?
b.Individuals with incomes of less than $1,985 per month are exempt from city taxes. What percentage of residents is exempt from city taxes?
c.What are the minimum and the maximum incomes of the middle 95% of the residents?
d.Two hundred residents have incomes of at least $4,440 per month. What is the population of Daisy City?

Accepted Answer

a.93.32%
b.2.12%
c.M

Question 3

Exhibit 6-6
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.
-Refer to Exhibit 6-6. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000?

Accepted Answer

A) 0.4772 
B) 0.9772 
C) 0.0228 
D) 0.5000 
A) 0.4772 
B) 0.9772 
C) 0.0228 
D) 0.5000

Question 4

The SAT scores of students are normally distributed with a mean of 950 and a standard deviation of 200.
a.Nancy Bright's SAT score was 1390. What percentage of students have scores more than Nancy Bright?
b.What percentage of students score between 1100 and 1200?
c.What are the minimum and the maximum values of the middle 87.4% of the scores?
d.There were 165 students who scored above 1432. How many students took the SAT?

Accepted Answer

a.1.39%
b.

Question 5

Exhibit 6-9
The average price of personal computers manufactured by MNM Company is $1,200 with a standard deviation of $220. Furthermore, it is known that the computer prices manufactured by MNM are normally distributed.
-Refer to Exhibit 6-9. What is the minimum value of the middle 95% of computer prices?

Accepted Answer

A) $1,768.80 
B) $1,295.80 
C) $2,400.00 
D) $768.80 
A) $1,768.80 
B) $1,295.80 
C) $2,400.00 
D) $768.80

Question 6

The weights of the contents of cans of tomato sauce produced by a company are normally distributed with a mean of 8 ounces and a standard deviation of 0.2 ounces.
a.What percentage of all cans produced contain more than 8.4 ounces of tomato paste?
b.What percentage of all cans produced contain less than 7.8 ounces?
c.What percentage of cans contains between 7.4 and 8.2 ounces?
d.Ninety-five percent of cans will contain at least how many ounces?
e.
What percentage of cans contains between 8.2 and 8.4 ounces?

Accepted Answer

a.2.28%
b.

Question 7

Z is a standard normal random variable. What is the value of Z if the area between -Z and Z is 0.754?

Accepted Answer

A) 0.377 
B) 0.123 
C) 2.16 
D) 1.16 
A) 0.377 
B) 0.123 
C) 2.16 
D) 1.16

Question 8

A random variable X is uniformly distributed between 45 and 150.
a.Determine the probability of X = 48.
b.What is the probability of X ≤60?
c.What is the probability of X ≥50?
d.Determine the expected vale of X and its standard deviation.

Accepted Answer

a.0.000
b.

Question 9

A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and the standard deviation.

Accepted Answer

standard d

Question 10

The average life expectancy of dishwashers produced by a company is 6 years with a standard deviation of 8 months. Assume that the lives of dishwashers are normally distributed.
a.What is the probability that a randomly selected dishwasher will have a life expectancy of at least 7 years?
b.Dishwashers that fail operating in less than 4years will be replaced free of charge. What percent of dishwashers are expected to be replaced free of charge?
c.What are the minimum and the maximum life expectancy of the middle 95% of the dishwashers' lives? Give your answer in months.
d.If 155 of this year's dishwasher production fail operating in less than 4 years and 4 months, how many dishwashers were produced this year?

Accepted Answer

a.0.0668
b.1.22%
c.5

Question 11

For a uniform probability density function,

Accepted Answer

A) the height of the function cannot be larger than one 
B) the height of the function is the same for each value of x 
C) the height of the function is different for various values of x 
D) the height of the function decreases as x increases 
A) the height of the function cannot be larger than one 
B) the height of the function is the same for each value of x 
C) the height of the function is different for various values of x 
D) the height of the function decreases as x increases

Question 12

For a standard normal distribution, the probability of obtaining a z value of less than 1.6 is

Accepted Answer

A) 0.1600 
B) 0.0160 
C) 0.0016 
D) 0.9452 
A) 0.1600 
B) 0.0160 
C) 0.0016 
D) 0.9452

Question 13

Exhibit 6-7
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
-Refer to Exhibit 6-7. What is the probability that a randomly selected item will weigh more than 10 ounces?

Accepted Answer

A) 0.3413 
B) 0.8413 
C) 0.1587 
D) 0.5000 
A) 0.3413 
B) 0.8413 
C) 0.1587 
D) 0.5000

Question 14

Exhibit 6-1
The assembly time for a product is uniformly distributed between 6 to 10 minutes.
-Refer to Exhibit 6-1. The probability density function has what value in the interval between 6 and 10?

Accepted Answer

A) 0.25 
B) 4.00 
C) 5.00 
D) zero 
A) 0.25 
B) 4.00 
C) 5.00 
D) zero

Question 15

The average starting salary of this year's MBA students is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of MBA graduates?

Accepted Answer

Min. = 25,

Question 16

Exhibit 6-1
The assembly time for a product is uniformly distributed between 6 to 10 minutes.
-Refer to Exhibit 6-1. The probability of assembling the product between 7 to 9 minutes is

Accepted Answer

A) zero 
B) 0.50 
C) 0.20 
D) 1 
A) zero 
B) 0.50 
C) 0.20 
D) 1

Question 17

A negative value of Z indicates that

Accepted Answer

A) the number of standard deviations of an observation is to the right of the mean 
B) the number of standard deviations of an observation is to the left of the mean 
C) a mistake has been made in computations, since Z cannot be negative 
D) the data has a negative mean 
A) the number of standard deviations of an observation is to the right of the mean 
B) the number of standard deviations of an observation is to the left of the mean 
C) a mistake has been made in computations, since Z cannot be negative 
D) the data has a negative mean

Question 18

Exhibit 6-6
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.
-Refer to Exhibit 6-6. What percentage of MBA's will have starting salaries of $34,000 to $46,000?

Accepted Answer

A) 38.49% 
B) 38.59% 
C) 50% 
D) 76.98% 
A) 38.49% 
B) 38.59% 
C) 50% 
D) 76.98%

Question 19

The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes.
a.What is the probability density function for the time it takes to complete the task?
b.What is the probability that it will take a worker less than 4 minutes to complete the task?
c.What is the probability that it will take a worker between 6 and 10 minutes to complete the task?

Accepted Answer

a.f(x) =(1

Question 20

For a standard normal distribution, determine the probability of obtaining a Z value of
a.greater than zero.
b.between -2.34 to -2.55
c.less than 1.86.
d.between -1.95 to 2.7.
e.
between 1.5 to 2.75.

Accepted Answer

a.0.5000
b

An exponential probability distribution

Z is a standard normal random variable. What is the value of Z if the area between -Z and Z is 0.754?

A random variable X is uniformly distributed between 45 and 150. a.Determine the probability of X = 48. b.What is the probability of X ≤60? c.What is the probability of X ≥50? d.Determine the expected vale of X and its standard deviation.

A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and the standard deviation.

For a uniform probability density function,

For a standard normal distribution, the probability of obtaining a z value of less than 1.6 is

Exhibit 6-7 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-7. What is the probability that a randomly selected item will weigh more than 10 ounces?

Exhibit 6-1 The assembly time for a product is uniformly distributed between 6 to 10 minutes. -Refer to Exhibit 6-1. The probability density function has what value in the interval between 6 and 10?

The average starting salary of this year's MBA students is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of MBA graduates?

Exhibit 6-1 The assembly time for a product is uniformly distributed between 6 to 10 minutes. -Refer to Exhibit 6-1. The probability of assembling the product between 7 to 9 minutes is

A negative value of Z indicates that

Exhibit 6-6 The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. -Refer to Exhibit 6-6. What percentage of MBA's will have starting salaries of $34,000 to $46,000?

For a standard normal distribution, determine the probability of obtaining a Z value of a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e. between 1.5 to 2.75.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

Exam 6: Continuous Probability Distributions

An exponential probability distribution

Z is a standard normal random variable. What is the value of Z if the area between -Z and Z is 0.754?

A random variable X is uniformly distributed between 45 and 150. a.Determine the probability of X = 48. b.What is the probability of X ≤60? c.What is the probability of X ≥50? d.Determine the expected vale of X and its standard deviation.

A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and the standard deviation.

For a uniform probability density function,

For a standard normal distribution, the probability of obtaining a z value of less than 1.6 is

Exhibit 6-7 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-7. What is the probability that a randomly selected item will weigh more than 10 ounces?

Exhibit 6-1 The assembly time for a product is uniformly distributed between 6 to 10 minutes. -Refer to Exhibit 6-1. The probability density function has what value in the interval between 6 and 10?

The average starting salary of this year's MBA students is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of MBA graduates?

Exhibit 6-1 The assembly time for a product is uniformly distributed between 6 to 10 minutes. -Refer to Exhibit 6-1. The probability of assembling the product between 7 to 9 minutes is

A negative value of Z indicates that

Exhibit 6-6 The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. -Refer to Exhibit 6-6. What percentage of MBA's will have starting salaries of $34,000 to $46,000?

For a standard normal distribution, determine the probability of obtaining a Z value of a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e. between 1.5 to 2.75.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters