Question 1

In a Poisson probability problem, the rate of errors is one every two hours.To find the probability of three defects in four hours,

Accepted Answer

A)     = 1, x = 4 
B)    = 2, x = 3 
C)     = 3, x = 2 
D)  $\mu$ = 3, x = 6 
A)     = 1, x = 4 
B)    = 2, x = 3 
C)     = 3, x = 2 
D)  $\mu$ = 3, x = 6

Question 2

Given that z is a standard normal random variable, what is the probability that z $\geq$ -2.12?

Accepted Answer

A)  0.4830 
B)  0.9830 
C)  0.017 
D)  0.966 
A)  0.4830 
B)  0.9830 
C)  0.017 
D)  0.966

Question 3

x is a normally distributed random variable with a mean of 22 and a standard deviation of 5.The probability that x is less than 9.7 is

Accepted Answer

A)  0.000 
B)  0.4931 
C)  0.0069 
D)  0.9931 
A)  0.000 
B)  0.4931 
C)  0.0069 
D)  0.9931

Question 4

Given that z is a standard normal random variable.What is the value of z if the area to the right of z is 0.1401?

Accepted Answer

A)  1.08 
B)  0.1401 
C)  2.16 
D)  -1.08 
A)  1.08 
B)  0.1401 
C)  2.16 
D)  -1.08

Question 5

Use the normal approximation to the binomial distribution to answer this question.Fifteen percent of all students at a large university are absent on Mondays.If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

Accepted Answer

A)  0.0683 
B)  0.0213 
C)  0.0021 
D)  0.1329 
A)  0.0683 
B)  0.0213 
C)  0.0021 
D)  0.1329

Question 6

A normal probability distribution

Accepted Answer

A)  is a continuous probability distribution. 
B)  is a discrete probability distribution. 
C)  can be either continuous or discrete. 
D)  must have a standard deviation of 1. 
A)  is a continuous probability distribution. 
B)  is a discrete probability distribution. 
C)  can be either continuous or discrete. 
D)  must have a standard deviation of 1.

Question 7

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow

Accepted Answer

A)  ​a Poisson probability distribution. 
B)  ​a normal probability distribution. 
C)  ​a uniform probability distribution. 
D)  ​an exponential probability distribution. 
A)  ​a Poisson probability distribution. 
B)  ​a normal probability distribution. 
C)  ​a uniform probability distribution. 
D)  ​an exponential probability distribution.

Question 8

The ages of students at a university are normally distributed with a mean of 21.What percentage of the student body is at least 21 years old?

Accepted Answer

A)  It could be any value, depending on the magnitude of the standard deviation 
B)  50% 
C)  21% 
D)  1.96% 
A)  It could be any value, depending on the magnitude of the standard deviation 
B)  50% 
C)  21% 
D)  1.96%

Question 9

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.What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500?

Accepted Answer

A)  0.4332 
B)  0.9332 
C)  0.0668 
D)  0.5000 
A)  0.4332 
B)  0.9332 
C)  0.0668 
D)  0.5000

Question 10

The highest point of a normal curve occurs at

Accepted Answer

A)  one standard deviation to the right of the mean. 
B)  two standard deviations to the right of the mean. 
C)  approximately three standard deviations to the right of the mean. 
D)  the mean. 
A)  one standard deviation to the right of the mean. 
B)  two standard deviations to the right of the mean. 
C)  approximately three standard deviations to the right of the mean. 
D)  the mean.

Question 11

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.The probability of a player weighing more than 241.25 pounds is

Accepted Answer

A)  0.4505 
B)  0.0495 
C)  0.9505 
D)  0.9010 
A)  0.4505 
B)  0.0495 
C)  0.9505 
D)  0.9010

Question 12

In a standard normal distribution, the

Accepted Answer

A)  mean and the standard deviation are both 1. 
B)  mean is 0 and the standard deviation is 1. 
C)  mean is 1 and the standard deviation is 0. 
D)  mean and the standard deviation can have any value. 
A)  mean and the standard deviation are both 1. 
B)  mean is 0 and the standard deviation is 1. 
C)  mean is 1 and the standard deviation is 0. 
D)  mean and the standard deviation can have any value.

Question 13

A standard normal distribution is a normal distribution

Accepted Answer

A)  with a mean of 1 and a standard deviation of 0. 
B)  with a mean of 0 and a standard deviation of 1. 
C)  with any mean and a standard deviation of 1. 
D)  with any mean and any standard deviation. 
A)  with a mean of 1 and a standard deviation of 0. 
B)  with a mean of 0 and a standard deviation of 1. 
C)  with any mean and a standard deviation of 1. 
D)  with any mean and any standard deviation.

Question 14

Larger values of the standard deviation result in a normal curve that is

Accepted Answer

A)  skewed to the right. 
B)  skewed to the left. 
C)  narrower and more peaked. 
D)  wider and flatter. 
A)  skewed to the right. 
B)  skewed to the left. 
C)  narrower and more peaked. 
D)  wider and flatter.

Question 15

A normal probability distribution

Accepted Answer

A)  can have mean of any numerical value. 
B)  needs to have a mean of 0. 
C)  has a standard deviation of 0. 
D)  must have a standard deviation of 1 and a mean of 0. 
A)  can have mean of any numerical value. 
B)  needs to have a mean of 0. 
C)  has a standard deviation of 0. 
D)  must have a standard deviation of 1 and a mean of 0.

Question 16

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.The professor has informed us that 7.93 percent of her students received grades of A.What is the minimum score needed to receive a grade of A?

Accepted Answer

A)  90.51 
B)  93.2 
C)  88.51 
D)  100.00 
A)  90.51 
B)  93.2 
C)  88.51 
D)  100.00

Question 17

What is the probability that x is less than 5, given the function below
 f(x) =(1/10) e-x/10 x $\geq$ 0

Accepted Answer

A)  0.6065 
B)  0.0606 
C)  0.3935 
D)  0.9393 
A)  0.6065 
B)  0.0606 
C)  0.3935 
D)  0.9393

Question 18

In a standard normal distribution, the probability that Z is greater than zero is

Accepted Answer

A)  0.5. 
B)  equal to 1. 
C)  at least 0.5. 
D)  1.96. 
A)  0.5. 
B)  equal to 1. 
C)  at least 0.5. 
D)  1.96.

Question 19

The assembly time for a product is uniformly distributed between 6 to 10 minutes.The probability of assembling the product in less than 6 minutes is

Accepted Answer

A)  zero 
B)  0.50 
C)  0.15 
D)  1 
A)  zero 
B)  0.50 
C)  0.15 
D)  1

Question 20

z is a standard normal random variable.The P (1.41 < z < 2.85) equals

Accepted Answer

A)  0.4978 
B)  0.4207 
C)  0.9185 
D)  0.0771 
A)  0.4978 
B)  0.4207 
C)  0.9185 
D)  0.0771

In a Poisson probability problem, the rate of errors is one every two hours.To find the probability of three defects in four hours,

Given that z is a standard normal random variable, what is the probability that z $\geq$ -2.12?

x is a normally distributed random variable with a mean of 22 and a standard deviation of 5.The probability that x is less than 9.7 is

Given that z is a standard normal random variable.What is the value of z if the area to the right of z is 0.1401?

Use the normal approximation to the binomial distribution to answer this question.Fifteen percent of all students at a large university are absent on Mondays.If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

A normal probability distribution

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow

The ages of students at a university are normally distributed with a mean of 21.What percentage of the student body is at least 21 years old?

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.What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500?

The highest point of a normal curve occurs at

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.The probability of a player weighing more than 241.25 pounds is

In a standard normal distribution, the

A standard normal distribution is a normal distribution

Larger values of the standard deviation result in a normal curve that is

A normal probability distribution

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.The professor has informed us that 7.93 percent of her students received grades of A.What is the minimum score needed to receive a grade of A?

What is the probability that x is less than 5, given the function below f(x) =(1/10) e^-^x^/10 x $\geq$ 0

In a standard normal distribution, the probability that Z is greater than zero is

The assembly time for a product is uniformly distributed between 6 to 10 minutes.The probability of assembling the product in less than 6 minutes is

z is a standard normal random variable.The P (1.41 < z < 2.85) equals

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Exam 6: Continuous Probability Distributions

In a Poisson probability problem, the rate of errors is one every two hours.To find the probability of three defects in four hours,

Given that z is a standard normal random variable, what is the probability that z ≥\geq≥ -2.12?

x is a normally distributed random variable with a mean of 22 and a standard deviation of 5.The probability that x is less than 9.7 is

Given that z is a standard normal random variable.What is the value of z if the area to the right of z is 0.1401?

Use the normal approximation to the binomial distribution to answer this question.Fifteen percent of all students at a large university are absent on Mondays.If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

A normal probability distribution

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow

The ages of students at a university are normally distributed with a mean of 21.What percentage of the student body is at least 21 years old?

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.What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500?

The highest point of a normal curve occurs at

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.The probability of a player weighing more than 241.25 pounds is

In a standard normal distribution, the

A standard normal distribution is a normal distribution

Larger values of the standard deviation result in a normal curve that is

A normal probability distribution

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.The professor has informed us that 7.93 percent of her students received grades of A.What is the minimum score needed to receive a grade of A?

What is the probability that x is less than 5, given the function below f(x) =(1/10) e-x/10 x ≥\geq≥ 0

In a standard normal distribution, the probability that Z is greater than zero is

The assembly time for a product is uniformly distributed between 6 to 10 minutes.The probability of assembling the product in less than 6 minutes is

z is a standard normal random variable.The P (1.41 < z < 2.85) equals

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Given that z is a standard normal random variable, what is the probability that z $\geq$ -2.12?

What is the probability that x is less than 5, given the function below f(x) =(1/10) e^-^x^/10 x $\geq$ 0