Question 1

Normal distribution is a symmetrical distribution with its tails extending to infinity on either side of the mean.

Accepted Answer

A) True 
 B)False

Question 2

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > 2.4)?

Accepted Answer

A)  0.4918 
B)  0.9918 
C)  0.0082 
D)  0.4793 
E)  0.0820 
A)  0.4918 
B)  0.9918 
C)  0.0082 
D)  0.4793 
E)  0.0820

Question 3

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 less than 10 minutes will elapse between car arrivals is _____________.

Accepted Answer

A)  .0001 
B)  .9987 
C)  .0013 
D)  .6667 
E)  .1667 
A)  .0001 
B)  .9987 
C)  .0013 
D)  .6667 
E)  .1667

Question 4

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

Accepted Answer

A) True 
 B)False

Question 5

The normal approximation for binomial distribution can be used when n=10 and p=1/5.

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

If arrivals at a bank followed a Poisson distribution,then the time between arrivals would follow a binomial distribution.

Accepted Answer

A) True 
 B)False

Question 8

Let z be a normal random variable with mean 0 and standard deviation 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 9

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one,always.

Accepted Answer

A) True 
 B)False

Question 10

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 will not have a net loss is _____________.

Accepted Answer

A)  0.4938 
B)  0.0062 
C)  0.9938 
D)  0.5062 
E)  0.0000 
A)  0.4938 
B)  0.0062 
C)  0.9938 
D)  0.5062 
E)  0.0000

Question 11

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 12

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then P(x = exactly 100)is __________________.

Accepted Answer

A)  0.750 
B)  0.000 
C)  0.333 
D)  0.500 
E)  0.900 
A)  0.750 
B)  0.000 
C)  0.333 
D)  0.500 
E)  0.900

Question 13

Binomial distributions in which the sample sizes are large may be approximated by a Poisson distribution.

Accepted Answer

A) True 
 B)False

Question 14

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 15

The total area underneath any normal curve is equal to _______.

Accepted Answer

A)  the mean 
B)  one 
C)  the variance 
D)  the coefficient of variation 
E)  the standard deviation 
A)  the mean 
B)  one 
C)  the variance 
D)  the coefficient of variation 
E)  the standard deviation

Question 16

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then P(x $\ge$ 10)is __________________.

Accepted Answer

A)  0.750 
B)  0.000 
C)  0.333 
D)  0.500 
E)  0.900 
A)  0.750 
B)  0.000 
C)  0.333 
D)  0.500 
E)  0.900

Question 17

If x,the time (in minutes)to complete an oil change job at 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 18

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > -1.1)?

Accepted Answer

A)  0.36432 
B)  0.8643 
C)  0.1357 
D)  -0.1357 
E)  -0.8643 
A)  0.36432 
B)  0.8643 
C)  0.1357 
D)  -0.1357 
E)  -0.8643

Question 19

Let x be a binomial random variable with n=50 and p=.3. 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 15 successes,we should find _______.

Accepted Answer

A) P(x>15.5) B) P(x>15) C) P(x>14.5) D) P(x<14.5) E) P(x < 15) A) P(x>15.5) B) P(x>15) C) P(x>14.5) D) P(x<14.5) E) P(x < 15)

Question 20

Let z be a normal random variable with mean 0 and standard deviation 1.The 50th percentile of z is ____________.

Accepted Answer

A)  0.6700 
B)  -1.254 
C)  0.0000 
D)  1.2800 
E)  0.5000 
A)  0.6700 
B)  -1.254 
C)  0.0000 
D)  1.2800 
E)  0.5000

Normal distribution is a symmetrical distribution with its tails extending to infinity on either side of the mean.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > 2.4)?

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 less than 10 minutes will elapse between car arrivals is _____________.

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

The normal approximation for binomial distribution can be used when n=10 and p=1/5.

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

If arrivals at a bank followed a Poisson distribution,then the time between arrivals would follow a binomial distribution.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z < 1.3)?

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one,always.

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 will not have a net loss is _____________.

The exponential distribution is an example of _______.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then P(x = exactly 100)is __________________.

Binomial distributions in which the sample sizes are large may be approximated by a Poisson distribution.

A standard normal distribution has the following characteristics:

The total area underneath any normal curve is equal to _______.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then P(x $\ge$ 10)is __________________.

If x,the time (in minutes)to complete an oil change job at 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 __________________.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > -1.1)?

Let x be a binomial random variable with n=50 and p=.3. 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 15 successes,we should find _______.

Let z be a normal random variable with mean 0 and standard deviation 1.The 50^th percentile of z is ____________.

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

A Nalysis 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

Normal distribution is a symmetrical distribution with its tails extending to infinity on either side of the mean.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > 2.4)?

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 less than 10 minutes will elapse between car arrivals is _____________.

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

The normal approximation for binomial distribution can be used when n=10 and p=1/5.

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

If arrivals at a bank followed a Poisson distribution,then the time between arrivals would follow a binomial distribution.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z < 1.3)?

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one,always.

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 will not have a net loss is _____________.

The exponential distribution is an example of _______.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 ≤\le≤ x ≤\le≤ 140),then P(x = exactly 100)is __________________.

Binomial distributions in which the sample sizes are large may be approximated by a Poisson distribution.

A standard normal distribution has the following characteristics:

The total area underneath any normal curve is equal to _______.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 ≤\le≤ x ≤\le≤ 12),then P(x ≥\ge≥ 10)is __________________.

If x,the time (in minutes)to complete an oil change job at 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 __________________.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > -1.1)?

Let x be a binomial random variable with n=50 and p=.3. 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 15 successes,we should find _______.

Let z be a normal random variable with mean 0 and standard deviation 1.The 50th percentile of z is ____________.

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

A Nalysis 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 the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then P(x = exactly 100)is __________________.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then P(x $\ge$ 10)is __________________.

If x,the time (in minutes)to complete an oil change job at 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 __________________.

Let z be a normal random variable with mean 0 and standard deviation 1.The 50^th percentile of z is ____________.