Exam 6: Continuous Distributions

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.

(Multiple Choice)

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Question 21

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 most 30,000 kilometres?

(Multiple Choice)

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Question 22

Let z be a normal random variable with mean 0 and standard deviation 1.The 90^th percentile of z is ___.

(Multiple Choice)

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Question 23

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(-2.25 < z < -1.1)?

(Multiple Choice)

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Question 24

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

(Multiple Choice)

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Question 25

Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity.

(Essay)

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Question 26

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

(True/False)

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Question 27

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

(True/False)

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Question 28

A standard normal distribution has the following characteristics:

(Multiple Choice)

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Question 29

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(9 $\le$ x $\le$ 11),is ___.

(Multiple Choice)

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Question 30

Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20.Determine the value of x such that 60% of the values are greater than x.

(Multiple Choice)

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Question 31

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.To be 99% sure that we will not be late in completing the project,we should request a completion time of ___ work-days.

(Multiple Choice)

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Question 32

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

(True/False)

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Question 33

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

(Multiple Choice)

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Question 34

If x is a normal random variable with mean 80 and standard deviation 5,the z score for x = 88 is ___.

(Multiple Choice)

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Question 35

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 probability that an oil change job is completed in less than 17 minutes,i.e. ,P(x < 17)is ___.

(Multiple Choice)

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Question 36

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.

(True/False)

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Question 37

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last longer than 1150 hours?

(Multiple Choice)

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Question 38

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

(True/False)

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Question 39

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 probability that an oil change job will be completed 24 minutes or more,i.e. ,P(x $\ge$ 24)is ___.

(Multiple Choice)

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Question 40

Showing 21 - 40 of 78

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.

Let z be a normal random variable with mean 0 and standard deviation 1.The 90^th percentile of z is ___.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(-2.25 < z < -1.1)?

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

Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity.

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

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

A standard normal distribution has the following characteristics:

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(9 $\le$ x $\le$ 11),is ___.

Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20.Determine the value of x such that 60% of the values are greater than x.

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.To be 99% sure that we will not be late in completing the project,we should request a completion time of ___ work-days.

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

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

If x is a normal random variable with mean 80 and standard deviation 5,the z score for x = 88 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 probability that an oil change job is completed in less than 17 minutes,i.e. ,P(x < 17)is ___.

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.

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last longer than 1150 hours?

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

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 probability that an oil change job will be completed 24 minutes or more,i.e. ,P(x $\ge$ 24)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

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

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.

Let z be a normal random variable with mean 0 and standard deviation 1.The 90th percentile of z is ___.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(-2.25 < z < -1.1)?

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

Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity.

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

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

A standard normal distribution has the following characteristics:

If x is uniformly distributed over the interval 8 to 12,inclusively (8 ≤\le≤ x ≤\le≤ 12),then the probability,P(9 ≤\le≤ x ≤\le≤ 11),is ___.

Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20.Determine the value of x such that 60% of the values are greater than x.

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.To be 99% sure that we will not be late in completing the project,we should request a completion time of ___ work-days.

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

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

If x is a normal random variable with mean 80 and standard deviation 5,the z score for x = 88 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 probability that an oil change job is completed in less than 17 minutes,i.e. ,P(x < 17)is ___.

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.

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last longer than 1150 hours?

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

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 probability that an oil change job will be completed 24 minutes or more,i.e. ,P(x ≥\ge≥ 24)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

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 90^th percentile of z is ___.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(9 $\le$ x $\le$ 11),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 probability that an oil change job is completed in less than 17 minutes,i.e. ,P(x < 17)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 probability that an oil change job will be completed 24 minutes or more,i.e. ,P(x $\ge$ 24)is ___.