Exam 7: Continuous Probability Distributions

Checking Accounts A bank has determined that the monthly balances of the checking accounts of its customers are normally distributed with an average balance of $1,200 and a standard deviation of $250. {Checking Accounts Narrative} What proportion of customers have monthly balances less than $1,000?

(Essay)

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Question 41

A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

(True/False)

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Question 42

In practice, we frequently use a continuous distribution to approximate a discrete one when the number of values the variable can assume is countable but very large.

(True/False)

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Question 43

You can use a continuous random variable to ____________________ a discrete random variable that takes on a countable, but very large, number of possible values.

(Short Answer)

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Question 44

Suppose f(x)= 0.25. What range of possible values can X take on and still have the density function be legitimate?

(Multiple Choice)

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Question 45

A random variable X is standardized by subtracting the mean and dividing by the variance.

(True/False)

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Question 46

Which of the following is true about f(x)when X has a uniform distribution over the interval [ a , b ]?

(Multiple Choice)

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Question 47

Battery Life A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750 hours and a standard deviation of 300 hours. {Battery Life Narrative} What proportion of these batteries will last for more than 4,000 hours?

(Essay)

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Question 48

Which of the following distributions is not skewed?

(Multiple Choice)

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Question 49

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500. Assume salaries are normally distributed with a standard deviation of $4,500. {IT Graduates Salary Narrative} What is the cutoff for the bottom 5% of the salaries?

(Essay)

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Question 50

Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. {Electronics Test Narrative} What is the probability density function for this uniform distribution?

(Essay)

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Question 51

Given that Z is a standard normal random variable, a negative value ( z )on its distribution would indicate:

(Multiple Choice)

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Question 52

The shape of an F distribution is ____________________.

(Short Answer)

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Question 53

What is the shape of the probability density function for a uniform random variable on the interval [ a , b ]?

(Multiple Choice)

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Question 54

The Student t distribution with parameter v = 4 has a variance V ( t )equal to:

(Multiple Choice)

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Question 55

____________________ the value of s in a normal distribution will make it wider.

(Short Answer)

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Question 56

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. {Subway Waiting Time Narrative} What is the probability that the subway arrives in the first minute and a half?

(Essay)

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Question 57

The mean and variance of a X ² distribution approach ____________________ as the degrees of freedom increase.

(Short Answer)

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Question 58

A larger standard deviation of a normal distribution indicates that the distribution becomes:

(Multiple Choice)

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Question 59

The shape of a X ² distribution is ____________________.

(Short Answer)

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Question 60

Showing 41 - 60 of 167

Checking Accounts A bank has determined that the monthly balances of the checking accounts of its customers are normally distributed with an average balance of $1,200 and a standard deviation of $250. {Checking Accounts Narrative} What proportion of customers have monthly balances less than $1,000?

A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

In practice, we frequently use a continuous distribution to approximate a discrete one when the number of values the variable can assume is countable but very large.

You can use a continuous random variable to ____________________ a discrete random variable that takes on a countable, but very large, number of possible values.

Suppose f(x)= 0.25. What range of possible values can X take on and still have the density function be legitimate?

A random variable X is standardized by subtracting the mean and dividing by the variance.

Which of the following is true about f(x)when X has a uniform distribution over the interval [ a , b ]?

Battery Life A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750 hours and a standard deviation of 300 hours. {Battery Life Narrative} What proportion of these batteries will last for more than 4,000 hours?

Which of the following distributions is not skewed?

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500. Assume salaries are normally distributed with a standard deviation of $4,500. {IT Graduates Salary Narrative} What is the cutoff for the bottom 5% of the salaries?

Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. {Electronics Test Narrative} What is the probability density function for this uniform distribution?

Given that Z is a standard normal random variable, a negative value ( z )on its distribution would indicate:

The shape of an F distribution is ____________________.

What is the shape of the probability density function for a uniform random variable on the interval [ a , b ]?

The Student t distribution with parameter v = 4 has a variance V ( t )equal to:

____________________ the value of s in a normal distribution will make it wider.

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. {Subway Waiting Time Narrative} What is the probability that the subway arrives in the first minute and a half?

The mean and variance of a X ² distribution approach ____________________ as the degrees of freedom increase.

A larger standard deviation of a normal distribution indicates that the distribution becomes:

The shape of a X ² distribution is ____________________.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

Exam 7: Continuous Probability Distributions

Checking Accounts A bank has determined that the monthly balances of the checking accounts of its customers are normally distributed with an average balance of $1,200 and a standard deviation of $250. {Checking Accounts Narrative} What proportion of customers have monthly balances less than $1,000?

A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

In practice, we frequently use a continuous distribution to approximate a discrete one when the number of values the variable can assume is countable but very large.

You can use a continuous random variable to ____________________ a discrete random variable that takes on a countable, but very large, number of possible values.

Suppose f(x)= 0.25. What range of possible values can X take on and still have the density function be legitimate?

A random variable X is standardized by subtracting the mean and dividing by the variance.

Which of the following is true about f(x)when X has a uniform distribution over the interval [ a , b ]?

Battery Life A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750 hours and a standard deviation of 300 hours. {Battery Life Narrative} What proportion of these batteries will last for more than 4,000 hours?

Which of the following distributions is not skewed?

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500. Assume salaries are normally distributed with a standard deviation of $4,500. {IT Graduates Salary Narrative} What is the cutoff for the bottom 5% of the salaries?

Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. {Electronics Test Narrative} What is the probability density function for this uniform distribution?

Given that Z is a standard normal random variable, a negative value ( z )on its distribution would indicate:

The shape of an F distribution is ____________________.

What is the shape of the probability density function for a uniform random variable on the interval [ a , b ]?

The Student t distribution with parameter v = 4 has a variance V ( t )equal to:

____________________ the value of s in a normal distribution will make it wider.

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. {Subway Waiting Time Narrative} What is the probability that the subway arrives in the first minute and a half?

The mean and variance of a X 2 distribution approach ____________________ as the degrees of freedom increase.

A larger standard deviation of a normal distribution indicates that the distribution becomes:

The shape of a X 2 distribution is ____________________.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

The mean and variance of a X ² distribution approach ____________________ as the degrees of freedom increase.

The shape of a X ² distribution is ____________________.