Question 1

For an exponential distribution, the mean and the median are equal.

Accepted Answer

A) True 
 B)False

Question 2

The exponential distribution is especially useful in queuing problems to analyze the interarrival times.

Accepted Answer

A) True 
 B)False

Question 3

In a standard normal distribution, if the area under curve to the right of a z value is 0.10, then the area to the left of the same z value is -0.10.

Accepted Answer

A) True 
 B)False

Question 4

The exponential distribution is an example of ___.

Accepted Answer

A) a discrete distribution 
B) a continuous distribution 
C) a bimodal distribution 
D) a normal distribution 
E) a symmetrical distribution 
A) a discrete distribution 
B) a continuous distribution 
C) a bimodal distribution 
D) a normal distribution 
E) a symmetrical distribution

Question 5

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

Question 6

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 7

Let z be a normal random variable with mean ($\mu$)equal to 0 and standard deviation ($\sigma$)of 1.What is P(z < 1.3)?

Accepted Answer

A) 0.4032 
B) 0.9032 
C) 0.0968 
D) 0.3485 
E) 0.5485 
A) 0.4032 
B) 0.9032 
C) 0.0968 
D) 0.3485 
E) 0.5485

Question 8

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$12), then the height of this distribution, f(x), is ___.

Accepted Answer

A) 1/8 
B) 1/4 
C) 1/12 
D) 1/20 
E) 1/24 
A) 1/8 
B) 1/4 
C) 1/12 
D) 1/20 
E) 1/24

Question 9

Within a range of z scores from -1 to +1, you can expect to find ___ per cent of the values in a normal distribution.

Accepted Answer

A) 95 
B) 99 
C) 68 
D) 34 
E) 100 
A) 95 
B) 99 
C) 68 
D) 34 
E) 100

Question 10

Let x be a binomial random variable with n=20 and p=.8.If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made.To find the probability of more than 12 successes, we should find ___.

Accepted Answer

A) P(x>12.5) B) P(x>12) C) P(x>11.5) D) P(x<11.5) E) P(x < 12) A) P(x>12.5) B) P(x>12) C) P(x>11.5) D) P(x<11.5) E) P(x < 12)

Question 11

For the normal approximation to be a good approximation for binomial distribution, n*p must be greater than ___________.

Accepted Answer

A) 50 
B) 5 
C) 0.5 
D) 0.05 
E) 0 
A) 50 
B) 5 
C) 0.5 
D) 0.05 
E) 0

Question 12

Suppose x is a normal random variable with mean ($\mu$)equal to 60 and standard deviation ($\sigma$)of 2.If the z score was calculated to be -1.3, what is the value of x?

Accepted Answer

A) 58.7 
B) 61.3 
C) 62.6 
D) 57.4 
E) 54.7 
A) 58.7 
B) 61.3 
C) 62.6 
D) 57.4 
E) 54.7

Question 13

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 mean used in the calculation?

Accepted Answer

A) 0.56 
B) 90 
C) 45.0 
D) 50.4 
E) 106.7 
A) 0.56 
B) 90 
C) 45.0 
D) 50.4 
E) 106.7

Question 14

If x, the time (in minutes)to complete an oil change job at a certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20$\le$ x $\le$30), then the height of this distribution, f(x), is ___.

Accepted Answer

A) 1/10 
B) 1/20 
C) 1/30 
D) 12/50 
E) 1/60 
A) 1/10 
B) 1/20 
C) 1/30 
D) 12/50 
E) 1/60

Question 15

Suppose x is a normal random variable with mean ($\mu$)equal to 60 and standard deviation ($\sigma$)of 2.If the z score was calculated to be 3.4, what is the value of x?

Accepted Answer

A) 63.4 
B) 56.6 
C) 68.6 
D) 53.2 
E) 66.8 
A) 63.4 
B) 56.6 
C) 68.6 
D) 53.2 
E) 66.8

Question 16

The area under the standard normal distribution between -1 and 1 is twice the area between 0 and 1.

Accepted Answer

A) True 
 B)False

Question 17

Participants in a 2-day biking event, cross the finish line at a rate of 10 bike riders per fifteen minute interval.The probability that at least 2 minutes will elapse between bike riders is closest to _____________.

Accepted Answer

A) .0000 
B) .0498 
C) .2635 
D) .1353 
E) .4647 
A) .0000 
B) .0498 
C) .2635 
D) .1353 
E) .4647

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

Let z be a normal random variable with mean ($\mu$)0 and standard deviation ($\sigma$)of 1.What is P(z < -2.1)?

Accepted Answer

A) 0.4821 
B) -0.4821 
C) 0.9821 
D) 0.0179 
E) -0.0179 
A) 0.4821 
B) -0.4821 
C) 0.9821 
D) 0.0179 
E) -0.0179

Question 20

Many human characteristics, such as height and weight, and many variable measurements, such as household insurance and cost per square metre of rental space, are normally distributed.

Accepted Answer

A) True 
 B)False

For an exponential distribution, the mean and the median are equal.

The exponential distribution is especially useful in queuing problems to analyze the interarrival times.

In a standard normal distribution, if the area under curve to the right of a z value is 0.10, then the area to the left of the same z value is -0.10.

The exponential distribution is an example of ___.

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 _______.

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 _______

Let z be a normal random variable with mean ( $\mu$ )equal to 0 and standard deviation ( $\sigma$ )of 1.What is P(z < 1.3)?

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the height of this distribution, f(x), is ___.

Within a range of z scores from -1 to +1, you can expect to find ___ per cent of the values in a normal distribution.

Let x be a binomial random variable with n=20 and p=.8.If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made.To find the probability of more than 12 successes, we should find ___.

For the normal approximation to be a good approximation for binomial distribution, n*p must be greater than ___________.

Suppose x is a normal random variable with mean ( $\mu$ )equal to 60 and standard deviation ( $\sigma$ )of 2.If the z score was calculated to be -1.3, what is the value of x?

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 mean used in the calculation?

If x, the time (in minutes)to complete an oil change job at a certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 $\le$ x $\le$ 30), then the height of this distribution, f(x), is ___.

Suppose x is a normal random variable with mean ( $\mu$ )equal to 60 and standard deviation ( $\sigma$ )of 2.If the z score was calculated to be 3.4, what is the value of x?

The area under the standard normal distribution between -1 and 1 is twice the area between 0 and 1.

Participants in a 2-day biking event, cross the finish line at a rate of 10 bike riders per fifteen minute interval.The probability that at least 2 minutes will elapse between bike riders is closest to _____________.

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

Let z be a normal random variable with mean ( $\mu$ )0 and standard deviation ( $\sigma$ )of 1.What is P(z < -2.1)?

Many human characteristics, such as height and weight, and many variable measurements, such as household insurance and cost per square metre of rental space, are normally distributed.

Introduction to Statistics

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, the mean and the median are equal.

The exponential distribution is especially useful in queuing problems to analyze the interarrival times.

In a standard normal distribution, if the area under curve to the right of a z value is 0.10, then the area to the left of the same z value is -0.10.

The exponential distribution is an example of ___.

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 _______.

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 _______

Let z be a normal random variable with mean ( μ\muμ )equal to 0 and standard deviation ( σ\sigmaσ )of 1.What is P(z < 1.3)?

If x is uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then the height of this distribution, f(x), is ___.

Within a range of z scores from -1 to +1, you can expect to find ___ per cent of the values in a normal distribution.

Let x be a binomial random variable with n=20 and p=.8.If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made.To find the probability of more than 12 successes, we should find ___.

For the normal approximation to be a good approximation for binomial distribution, n*p must be greater than ___________.

Suppose x is a normal random variable with mean ( μ\muμ )equal to 60 and standard deviation ( σ\sigmaσ )of 2.If the z score was calculated to be -1.3, what is the value of x?

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 mean used in the calculation?

If x, the time (in minutes)to complete an oil change job at a certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 ≤\le≤ x ≤\le≤ 30), then the height of this distribution, f(x), is ___.

Suppose x is a normal random variable with mean ( μ\muμ )equal to 60 and standard deviation ( σ\sigmaσ )of 2.If the z score was calculated to be 3.4, what is the value of x?

The area under the standard normal distribution between -1 and 1 is twice the area between 0 and 1.

Participants in a 2-day biking event, cross the finish line at a rate of 10 bike riders per fifteen minute interval.The probability that at least 2 minutes will elapse between bike riders is closest to _____________.

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

Let z be a normal random variable with mean ( μ\muμ )0 and standard deviation ( σ\sigmaσ )of 1.What is P(z < -2.1)?

Many human characteristics, such as height and weight, and many variable measurements, such as household insurance and cost per square metre of rental space, are normally distributed.

Introduction to Statistics

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

Let z be a normal random variable with mean ( $\mu$ )equal to 0 and standard deviation ( $\sigma$ )of 1.What is P(z < 1.3)?

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the height of this distribution, f(x), is ___.

Suppose x is a normal random variable with mean ( $\mu$ )equal to 60 and standard deviation ( $\sigma$ )of 2.If the z score was calculated to be -1.3, what is the value of x?

If x, the time (in minutes)to complete an oil change job at a certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 $\le$ x $\le$ 30), then the height of this distribution, f(x), is ___.

Suppose x is a normal random variable with mean ( $\mu$ )equal to 60 and standard deviation ( $\sigma$ )of 2.If the z score was calculated to be 3.4, what is the value of x?

Let z be a normal random variable with mean ( $\mu$ )0 and standard deviation ( $\sigma$ )of 1.What is P(z < -2.1)?