Question 1

The total area under the curve of the probability density function of any normal distribution is always 1.0.

Accepted Answer

A) True 
 B)False

Question 2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let the random variable Z follow a standard normal distribution.
-Find the value k such that P(Z > k)= 0.43

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 3

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The length of time it takes to be seated at a local restaurant on Friday night is normally distributed with a mean of 15 minutes and a standard deviation of 4.75 minutes.
-A fair coin is flipped 100 times.The probability of obtaining between 40 and 60 heads is approximately:

Accepted Answer

A) 0.6826 
B) 0.7518 
C) 0.9544 
D) 0.9973 
A) 0.6826 
B) 0.7518 
C) 0.9544 
D) 0.9973

Question 4

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes.
-With probability 0.09 the percentage of successes is greater than what value?

Accepted Answer

P(P > a | n = 1800,P = 0.40)≈

Question 5

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes.
-Find the probability that the number of successes is less than 700.

Accepted Answer

P(X < 700 | n = 1800,P = 0.40)

Question 6

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes.
-What is the probability that it will take at least 16 minutes to assemble a component?

Accepted Answer

A) 0.8483 
B) 0.3483 
C) 0.1517 
D) 0.6517 
A) 0.8483 
B) 0.3483 
C) 0.1517 
D) 0.6517

Question 7

Given a normal random variable X with mean μ and standard deviation σ,the standard normal random variable associated with x is Z = (X - μ)/σ.

Accepted Answer

A) True 
 B)False

Question 8

The normal distribution is an example of a(n):

Accepted Answer

A) discrete distribution. 
B) continuous distribution. 
C) binomial distribution. 
D) exponential distribution. 
A) discrete distribution. 
B) continuous distribution. 
C) binomial distribution. 
D) exponential distribution.

Question 9

You are in charge of arranging the catering for a company meeting.Your company is responsible for paying for all meals ordered,so you don't want to order too many.Suppose that the expected number of people for the meeting is 84,with a standard deviation of 4 people.What is the fewest number of meals should you order so that the probability of having more people than meals is 5%?

Accepted Answer

P(X > k)= 0.05 ⇒ P[Z

Question 10

The probability is approximately 0.05 that X is in the symmetric interval about the mean between which two numbers?

Accepted Answer

P(a < X < b)= 0.05 ⇒ P[(a - 48

Question 11

Sales,investment,consumption,costs,and revenues are economic and business measures which can be represented by:

Accepted Answer

A) discrete variable. 
B) fixed variables. 
C) continuous random variables. 
D) coefficients. 
A) discrete variable. 
B) fixed variables. 
C) continuous random variables. 
D) coefficients.

Question 12

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A wire-spinning machine will spin,on average,12.3 miles before needing maintenance.Assume the time between maintenance is exponentially distributed.
-What is the median amount of time before the machine needs servicing?

Accepted Answer

Median k such that 1

Question 13

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let the random variable Z follow a standard normal distribution.
-What is P(Z > -0.21)?

Accepted Answer

A) 0.4207 
B) 0.4168 
C) 0.5793 
D) 0.5832 
A) 0.4207 
B) 0.4168 
C) 0.5793 
D) 0.5832

Question 14

A continuous random variable X is normally distributed with a mean of 1200 and a standard deviation of 150.Given that X = 1410,its corresponding Z-score is 1.40.

Accepted Answer

A) True 
 B)False

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes.
-Find the mean and standard deviation of the proportion of successes.

Accepted Answer

Mean = μ = P = 0.40,

Question 16

The area under the probability density function for the uniform distribution is between:

Accepted Answer

A) -∞ and +∞. 
B) 0 and 1. 
C) ± three standard deviations from the mean of the distribution. 
D) the maximum and minimum values of the random variable. 
A) -∞ and +∞. 
B) 0 and 1. 
C) ± three standard deviations from the mean of the distribution. 
D) the maximum and minimum values of the random variable.

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes.
-With probability 0.20,the percentage of successes is less than what value?

Accepted Answer

P(P < a | n = 1800,P = 0.40)≈

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X be a continuous random variable with mean of 1200 and standard deviation of 250.Define the random variable Y as follows: Y = 80 + 0.05X
-What is the standard deviation of Y?

Accepted Answer

A) 92.5 
B) 55.9 
C) 12.5 
D) 11.89 
A) 92.5 
B) 55.9 
C) 12.5 
D) 11.89

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The number of orders that come into a mail-order sales office each month is normally distributed with a mean of 298 and a standard deviation of 15.4.
-What is the area under the normal curve between Z = 1.0 and Z = 2.0?

Accepted Answer

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

Question 20

In a random experiment which leads to an outcome that can be represented by a continuous random variable,the average of the values taken as the number of replications becomes infinitely large is called the:

Accepted Answer

A) mode. 
B) median. 
C) expected value. 
D) hypergeometric distribution. 
A) mode. 
B) median. 
C) expected value. 
D) hypergeometric distribution.

The total area under the curve of the probability density function of any normal distribution is always 1.0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable Z follow a standard normal distribution. -Find the value k such that P(Z > k)= 0.43

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -With probability 0.09 the percentage of successes is greater than what value?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -Find the probability that the number of successes is less than 700.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. -What is the probability that it will take at least 16 minutes to assemble a component?

Given a normal random variable X with mean μ and standard deviation σ,the standard normal random variable associated with x is Z = (X - μ)/σ.

The normal distribution is an example of a(n):

The probability is approximately 0.05 that X is in the symmetric interval about the mean between which two numbers?

Sales,investment,consumption,costs,and revenues are economic and business measures which can be represented by:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A wire-spinning machine will spin,on average,12.3 miles before needing maintenance.Assume the time between maintenance is exponentially distributed. -What is the median amount of time before the machine needs servicing?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable Z follow a standard normal distribution. -What is P(Z > -0.21)?

A continuous random variable X is normally distributed with a mean of 1200 and a standard deviation of 150.Given that X = 1410,its corresponding Z-score is 1.40.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -Find the mean and standard deviation of the proportion of successes.

The area under the probability density function for the uniform distribution is between:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -With probability 0.20,the percentage of successes is less than what value?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X be a continuous random variable with mean of 1200 and standard deviation of 250.Define the random variable Y as follows: Y = 80 + 0.05X -What is the standard deviation of Y?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The number of orders that come into a mail-order sales office each month is normally distributed with a mean of 298 and a standard deviation of 15.4. -What is the area under the normal curve between Z = 1.0 and Z = 2.0?

In a random experiment which leads to an outcome that can be represented by a continuous random variable,the average of the values taken as the number of replications becomes infinitely large is called the:

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 5: Continuous Random Variables and Probability Distributions

The total area under the curve of the probability density function of any normal distribution is always 1.0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable Z follow a standard normal distribution. -Find the value k such that P(Z > k)= 0.43

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -With probability 0.09 the percentage of successes is greater than what value?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -Find the probability that the number of successes is less than 700.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. -What is the probability that it will take at least 16 minutes to assemble a component?

Given a normal random variable X with mean μ and standard deviation σ,the standard normal random variable associated with x is Z = (X - μ)/σ.

The normal distribution is an example of a(n):

The probability is approximately 0.05 that X is in the symmetric interval about the mean between which two numbers?

Sales,investment,consumption,costs,and revenues are economic and business measures which can be represented by:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A wire-spinning machine will spin,on average,12.3 miles before needing maintenance.Assume the time between maintenance is exponentially distributed. -What is the median amount of time before the machine needs servicing?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable Z follow a standard normal distribution. -What is P(Z > -0.21)?

A continuous random variable X is normally distributed with a mean of 1200 and a standard deviation of 150.Given that X = 1410,its corresponding Z-score is 1.40.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -Find the mean and standard deviation of the proportion of successes.

The area under the probability density function for the uniform distribution is between:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a random sample of size n =1800 from a binomial probability distribution with P = 0.40,and X = number of successes. -With probability 0.20,the percentage of successes is less than what value?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X be a continuous random variable with mean of 1200 and standard deviation of 250.Define the random variable Y as follows: Y = 80 + 0.05X -What is the standard deviation of Y?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The number of orders that come into a mail-order sales office each month is normally distributed with a mean of 298 and a standard deviation of 15.4. -What is the area under the normal curve between Z = 1.0 and Z = 2.0?

In a random experiment which leads to an outcome that can be represented by a continuous random variable,the average of the values taken as the number of replications becomes infinitely large is called the:

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters