Question 1

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 B

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 7 minutes or less.

Accepted Answer

A) 0.349 
B) 0.591 
C) 0.286 
D) 0.714 
E) 0.5034 
A) 0.349 
B) 0.591 
C) 0.286 
D) 0.714 
E) 0.5034 E

Question 3

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(1.3 < z < 2.3)?

Accepted Answer

A) 0.4032 
B) 0.9032 
C) 0.4893 
D) 0.0861 
E) 0.0086 
A) 0.4032 
B) 0.9032 
C) 0.4893 
D) 0.0861 
E) 0.0086 D

Question 4

The net profit of an investment is normally distributed with a mean of $10,000 and a standard deviation of $5,000.The probability that the investor's net gain will be at least $5,000 is ___.

Accepted Answer

A) 0.1859 
B) 0.3413 
C) 0.8413 
D) 0.4967 
E) 0.5000 
A) 0.1859 
B) 0.3413 
C) 0.8413 
D) 0.4967 
E) 0.5000

Question 5

Let z be a normal random variable with mean 0 and standard deviation 1.The 75th 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

Question 6

A z score is the number of ___ that a value is from the mean.

Accepted Answer

A) variances 
B) standard deviations 
C) units 
D) miles 
E) minutes 
A) variances 
B) standard deviations 
C) units 
D) miles 
E) minutes

Question 7

Solve for probabilities in an exponential distribution and contrast the exponential distribution to the discrete Poisson distribution.

Accepted Answer

Another continuous distribution is the e

Question 8

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 9

Since a normal distribution curve extends from minus infinity to plus infinity,the area under the curve is infinity.

Accepted Answer

A) True 
 B)False

Question 10

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 11

Sure Stone Tire Company has established that the useful life of a particular brand of its automobile tires is normally distributed with a mean of 40,000 kilometres and a standard deviation of 5000 kilometres.What is the probability that a randomly selected tire of this brand has a life of at least 50,000 kilometres?

Accepted Answer

A) 0.0228 
B) 0.9772 
C) 0.5000 
D) 0.4772 
E) 1.0000 
A) 0.0228 
B) 0.9772 
C) 0.5000 
D) 0.4772 
E) 1.0000

Question 12

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

Accepted Answer

A) True 
 B)False

Question 13

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 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 standard deviation of this distribution is ___.

Accepted Answer

A) unknown 
B) 8.33 
C) 0.833 
D) 2.89 
E) 1.89 
A) unknown 
B) 8.33 
C) 0.833 
D) 2.89 
E) 1.89

Question 15

The area to the left of the mean in any normal distribution is equal to ___.

Accepted Answer

A) the mean 
B) 1 
C) the variance 
D) 0.5 
E) -0.5 
A) the mean 
B) 1 
C) the variance 
D) 0.5 
E) -0.5

Question 16

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 17

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

Accepted Answer

A) True 
 B)False

Question 18

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(13 $\le$ x $\le$ 15),is ___.

Accepted Answer

A) 0.250 
B) 0.500 
C) 0.375 
D) 0.000 
E) 1.000 
A) 0.250 
B) 0.500 
C) 0.375 
D) 0.000 
E) 1.000

Question 19

Completion time (from start to finish)of a building remodelling project is normally distributed with a mean of 200 work-days and a standard deviation of 10 work-days.The probability that the project will be completed within 185 work-days is ___.

Accepted Answer

A) 0.0668 
B) 0.4332 
C) 0.5000 
D) 0.9332 
E) 0.9950 
A) 0.0668 
B) 0.4332 
C) 0.5000 
D) 0.9332 
E) 0.9950

Question 20

The height of the rectangle depicting a uniform distribution is the probability of each outcome and it is the same for all of the possible outcomes.

Accepted Answer

A) True 
 B)False

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

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 7 minutes or less.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(1.3 < z < 2.3)?

The net profit of an investment is normally distributed with a mean of $10,000 and a standard deviation of $5,000.The probability that the investor's net gain will be at least $5,000 is ___.

Let z be a normal random variable with mean 0 and standard deviation 1.The 75^th percentile of z is ___.

A z score is the number of ___ that a value is from the mean.

Solve for probabilities in an exponential distribution and contrast the exponential distribution to the discrete Poisson distribution.

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 ___.

Since a normal distribution curve extends from minus infinity to plus infinity,the area under the curve is infinity.

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

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

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.

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 standard deviation of this distribution is ___.

The area to the left of the mean in any normal distribution is equal to ___.

The exponential distribution is an example of ___.

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

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(13 $\le$ x $\le$ 15),is ___.

Completion time (from start to finish)of a building remodelling project is normally distributed with a mean of 200 work-days and a standard deviation of 10 work-days.The probability that the project will be completed within 185 work-days is ___.

The height of the rectangle depicting a uniform distribution is the probability of each outcome and it is the same for all of the possible outcomes.

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

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

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 7 minutes or less.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(1.3 < z < 2.3)?

The net profit of an investment is normally distributed with a mean of $10,000 and a standard deviation of $5,000.The probability that the investor's net gain will be at least $5,000 is ___.

Let z be a normal random variable with mean 0 and standard deviation 1.The 75th percentile of z is ___.

A z score is the number of ___ that a value is from the mean.

Solve for probabilities in an exponential distribution and contrast the exponential distribution to the discrete Poisson distribution.

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 ___.

Since a normal distribution curve extends from minus infinity to plus infinity,the area under the curve is infinity.

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

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

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.

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 standard deviation of this distribution is ___.

The area to the left of the mean in any normal distribution is equal to ___.

The exponential distribution is an example of ___.

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

If x is uniformly distributed over the interval 8 to 12,inclusively (8 ≤\le≤ x ≤\le≤ 12),then the probability,P(13 ≤\le≤ x ≤\le≤ 15),is ___.

Completion time (from start to finish)of a building remodelling project is normally distributed with a mean of 200 work-days and a standard deviation of 10 work-days.The probability that the project will be completed within 185 work-days is ___.

The height of the rectangle depicting a uniform distribution is the probability of each outcome and it is the same for all of the possible outcomes.

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 0 and standard deviation 1.The 75^th percentile of z is ___.

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 ___.

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 standard deviation of this distribution is ___.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(13 $\le$ x $\le$ 15),is ___.