Question 1

For an exponential distribution with a lambda ()equal to 20, the mean equal to _______.

Accepted Answer

A) 20 
B) .05 
C) 4.474 
D) 1 
E) 2.11 
A) 20 
B) .05 
C) 4.474 
D) 1 
E) 2.11

Question 2

At a certain workstation in an assembly line, the time required to assemble a component is exponentially distributed with a mean time of 10 minutes.Find the probability that a component is assembled in 3 to 7 minutes?

Accepted Answer

A) 0.5034 
B) 0.2592 
C) 0.2442 
D) 0.2942 
E) 0.5084 
A) 0.5034 
B) 0.2592 
C) 0.2442 
D) 0.2942 
E) 0.5084

Question 3

For an exponential distribution, the mean is always equal to its variance.

Accepted Answer

A) True 
 B)False

Question 4

Most graduate business schools require applicants to take the GMAT.Scores on this test are approximately normally distributed with a mean of 545 points and a standard deviation of 100 points.What score do you need to be in the top 5% (approximately the scores needed for top schools)?

Accepted Answer

A) 718 
B) 716 
C) 714 
D) 712 
E) 710 
A) 718 
B) 716 
C) 714 
D) 712 
E) 710

Question 5

If variable x is normally distributed with mean 0 and standard deviation 1, x ~ N(0,1), then the probability that x is exactly 0 is _________.

Accepted Answer

A) 0.05 
B) 0.04 
C) 0.02 
D) 0.01 
E) 0.00 
A) 0.05 
B) 0.04 
C) 0.02 
D) 0.01 
E) 0.00

Question 6

A normal distribution with a mean of zero and a standard deviation of 1 is called a null distribution.

Accepted Answer

A) True 
 B)False

Question 7

Assuming an equal chance of a new baby being a boy or a girl (that is, p= 0.5), we would like to find the probability of 40 or more of the next 100 births at a local hospital will be boys.Using the normal approximation for binomial with a correction for continuity, we should use the z-score _______

Accepted Answer

A) 0.4 
B) -2.1 
C) 0.6 
D) 2 
E) -1.7 
A) 0.4 
B) -2.1 
C) 0.6 
D) 2 
E) -1.7

Question 8

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

Accepted Answer

A) True 
 B)False

Question 9

A standard normal distribution has a mean of one and a standard deviation of three.

Accepted Answer

A) True 
 B)False

Question 10

A standard normal distribution has the following characteristics:

Accepted Answer

A) the mean and the variance are both equal to 1 
B) the mean and the variance are both equal to 0 
C) the mean is equal to the variance 
D) the mean is equal to 0 and the variance is equal to 1 
E) the mean is equal to the standard deviation 
A) the mean and the variance are both equal to 1 
B) the mean and the variance are both equal to 0 
C) the mean is equal to the variance 
D) the mean is equal to 0 and the variance is equal to 1 
E) the mean is equal to the standard deviation

Question 11

If the probability of a binomial distribution was considering values that were less than 14, then the correction for continuity would start at 13.5.

Accepted Answer

A) True 
 B)False

Question 12

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\le$ 11)is __________________.

Accepted Answer

A) 0.750 
B) 0.000 
C) 0.333 
D) 0.500 
E) 1.000 
A) 0.750 
B) 0.000 
C) 0.333 
D) 0.500 
E) 1.000

Question 13

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(10.0$\le$x $\le$11.5), is __________________.

Accepted Answer

A) 0.250 
B) 0.333 
C) 0.375 
D) 0.500 
E) 0.750 
A) 0.250 
B) 0.333 
C) 0.375 
D) 0.500 
E) 0.750

Question 14

If x, the time (in minutes)to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 $\le$ x $\le$30), then the probability that an oil change job is completed in less than or equal to 22 minutes, i.e., P(x $\le$22)is __________________.

Accepted Answer

A) 0.200 
B) 0.300 
C) 0.000 
D) 0.250 
E) 1.000 
A) 0.200 
B) 0.300 
C) 0.000 
D) 0.250 
E) 1.000

Question 15

A uniform continuous distribution is also referred to as a rectangular distribution.

Accepted Answer

A) True 
 B)False

Question 16

The probability that someone will prefer Coke over Pepsi is 0.56.A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the standard deviation used in the calculation?

Accepted Answer

A) 4.7 
B) 22.2 
C) 50.4 
D) 39.6 
E) 22.5 
A) 4.7 
B) 22.2 
C) 50.4 
D) 39.6 
E) 22.5

Question 17

The net profit from a certain investment is normally distributed with a mean of $2,500 and a standard deviation of $1,000.The probability that the investor's net gain will be at least $2,000 is most closely reflected by _____________.

Accepted Answer

A) 0.0000 
B) 0.3413 
C) 0.6915 
D) 0.0500 
E) 0.5000 
A) 0.0000 
B) 0.3413 
C) 0.6915 
D) 0.0500 
E) 0.5000

Question 18

The mean of an exponential distribution is equal to 1/λ.

Accepted Answer

A) True 
 B)False

Question 19

Based on the caterer's experience, 38% of attendees to events will prefer chicken for the main dish.As the caterer plans for an event attended by 780 individuals, the normal approximation will be used for the binomial with a correction for continuity.In this case, what is the average number that she would expect to prefer chicken, when determining the probability that less than 300 will prefer chicken?

Accepted Answer

A) 296.4 
B) 114.0 
C) 483.6 
D) 13.6 
E) 183.8 
A) 296.4 
B) 114.0 
C) 483.6 
D) 13.6 
E) 183.8

Question 20

Let x be a binomial random variable with n=35 and p=.20.If we use the normal distribution to approximate probabilities for this, we would use a mean of _______.

Accepted Answer

A) 35 
B) 20 
C) 70 
D) 7 
E) 3.5 
A) 35 
B) 20 
C) 70 
D) 7 
E) 3.5

For an exponential distribution with a lambda ()equal to 20, the mean equal to _______.

At a certain workstation in an assembly line, the time required to assemble a component is exponentially distributed with a mean time of 10 minutes.Find the probability that a component is assembled in 3 to 7 minutes?

For an exponential distribution, the mean is always equal to its variance.

Most graduate business schools require applicants to take the GMAT.Scores on this test are approximately normally distributed with a mean of 545 points and a standard deviation of 100 points.What score do you need to be in the top 5% (approximately the scores needed for top schools)?

If variable x is normally distributed with mean 0 and standard deviation 1, x ~ N(0,1), then the probability that x is exactly 0 is _________.

A normal distribution with a mean of zero and a standard deviation of 1 is called a null distribution.

Assuming an equal chance of a new baby being a boy or a girl (that is, p= 0.5), we would like to find the probability of 40 or more of the next 100 births at a local hospital will be boys.Using the normal approximation for binomial with a correction for continuity, we should use the z-score _______

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

A standard normal distribution has a mean of one and a standard deviation of three.

A standard normal distribution has the following characteristics:

If the probability of a binomial distribution was considering values that were less than 14, then the correction for continuity would start at 13.5.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\le$ 11)is __________________.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(10.0 $\le$ x $\le$ 11.5), is __________________.

A uniform continuous distribution is also referred to as a rectangular distribution.

The probability that someone will prefer Coke over Pepsi is 0.56.A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the standard deviation used in the calculation?

The net profit from a certain investment is normally distributed with a mean of $2,500 and a standard deviation of $1,000.The probability that the investor's net gain will be at least $2,000 is most closely reflected by _____________.

The mean of an exponential distribution is equal to 1/λ.

Let x be a binomial random variable with n=35 and p=.20.If we use the normal distribution to approximate probabilities for this, we would use a mean of _______.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 6: Continuous Distributions

For an exponential distribution with a lambda ()equal to 20, the mean equal to _______.

At a certain workstation in an assembly line, the time required to assemble a component is exponentially distributed with a mean time of 10 minutes.Find the probability that a component is assembled in 3 to 7 minutes?

For an exponential distribution, the mean is always equal to its variance.

Most graduate business schools require applicants to take the GMAT.Scores on this test are approximately normally distributed with a mean of 545 points and a standard deviation of 100 points.What score do you need to be in the top 5% (approximately the scores needed for top schools)?

If variable x is normally distributed with mean 0 and standard deviation 1, x ~ N(0,1), then the probability that x is exactly 0 is _________.

A normal distribution with a mean of zero and a standard deviation of 1 is called a null distribution.

Assuming an equal chance of a new baby being a boy or a girl (that is, p= 0.5), we would like to find the probability of 40 or more of the next 100 births at a local hospital will be boys.Using the normal approximation for binomial with a correction for continuity, we should use the z-score _______

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

A standard normal distribution has a mean of one and a standard deviation of three.

A standard normal distribution has the following characteristics:

If the probability of a binomial distribution was considering values that were less than 14, then the correction for continuity would start at 13.5.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then P(x ≤\le≤ 11)is __________________.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then the probability, P(10.0 ≤\le≤ x ≤\le≤ 11.5), is __________________.

A uniform continuous distribution is also referred to as a rectangular distribution.

The probability that someone will prefer Coke over Pepsi is 0.56.A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the standard deviation used in the calculation?

The net profit from a certain investment is normally distributed with a mean of $2,500 and a standard deviation of $1,000.The probability that the investor's net gain will be at least $2,000 is most closely reflected by _____________.

The mean of an exponential distribution is equal to 1/λ.

Let x be a binomial random variable with n=35 and p=.20.If we use the normal distribution to approximate probabilities for this, we would use a mean of _______.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\le$ 11)is __________________.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(10.0 $\le$ x $\le$ 11.5), is __________________.