Exam 7: Continuous Probability Distributions

Calculus Scores: Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.) -What is the probability that a randomly selected student will have a score between 80 and 90?

(Short Answer)

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Question 101

A worker earns $16 per hour at a plant and is told that only 5% of all workers make a higher wage. If the wage is assumed to be normally distributed and the standard deviation of wage rates is $5 per hour, find the average wage for the plant workers per hour.

(Essay)

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Question 102

The F distribution has two parameters called degrees of freedom, $\nu$ ₁ and $\nu$ ₂. We call $\nu$ ₁ the degrees of freedom, and we call $\nu$ ₂ the degrees of freedom.

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Question 103

A continuous random variable is one that can assume an uncountable number of values.

(True/False)

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Question 104

Waiting Time: The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours. -What is the probability that a patient would have to wait exactly one hour?

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Question 105

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. -What is the probability of a new graduate receiving a salary between $45,000 and $50,000?

(Short Answer)

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Question 106

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -What is the median amount of time it takes a student to finish the test?

(Short Answer)

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Question 107

Continuous probability distributions describe probabilities associated with random variables that are able to assume any finite number of values along an interval.

(True/False)

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Question 108

Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the median waiting time for this subway?

(Short Answer)

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Question 109

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 110

The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

(True/False)

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Question 111

A standard normal distribution is a normal distribution with:

(Multiple Choice)

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Question 112

Which of the following represents a difference between continuous and discrete random variables?

(Multiple Choice)

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Question 113

What number corresponds to t_0.05,10?

(Multiple Choice)

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Question 114

Diet: Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 10 pounds and a standard deviation of 5 pounds. -What proportion of the dieters gained weight?

(Short Answer)

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Question 115

P(Z > 3.00) is approximately ____________________.

(Short Answer)

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Question 116

A random variable X has a normal distribution with a mean of 250 and a standard deviation of 50. Given that X = 175, its corresponding value of Z is -1.50.

(True/False)

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Question 117

Calculus Scores: Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.) -What is the probability that a randomly selected student will have a score of 94 or lower?

(Short Answer)

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Question 118

The value of an F distribution with v₁ = 5 and v₂ = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.

(True/False)

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Question 119

Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the probability of waiting no more than 3 minutes?

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Question 120

Showing 101 - 120 of 149

Calculus Scores: Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.) -What is the probability that a randomly selected student will have a score between 80 and 90?

A worker earns $16 per hour at a plant and is told that only 5% of all workers make a higher wage. If the wage is assumed to be normally distributed and the standard deviation of wage rates is $5 per hour, find the average wage for the plant workers per hour.

The F distribution has two parameters called degrees of freedom, $\nu$ ₁ and $\nu$ ₂. We call $\nu$ ₁ the degrees of freedom, and we call $\nu$ ₂ the degrees of freedom.

A continuous random variable is one that can assume an uncountable number of values.

Waiting Time: The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours. -What is the probability that a patient would have to wait exactly one hour?

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. -What is the probability of a new graduate receiving a salary between $45,000 and $50,000?

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -What is the median amount of time it takes a student to finish the test?

Continuous probability distributions describe probabilities associated with random variables that are able to assume any finite number of values along an interval.

Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the median waiting time for this subway?

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

The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

A standard normal distribution is a normal distribution with:

Which of the following represents a difference between continuous and discrete random variables?

What number corresponds to t_0.05,10?

Diet: Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 10 pounds and a standard deviation of 5 pounds. -What proportion of the dieters gained weight?

P(Z > 3.00) is approximately ____________________.

A random variable X has a normal distribution with a mean of 250 and a standard deviation of 50. Given that X = 175, its corresponding value of Z is -1.50.

Calculus Scores: Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.) -What is the probability that a randomly selected student will have a score of 94 or lower?

The value of an F distribution with v₁ = 5 and v₂ = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.

Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the probability of waiting no more than 3 minutes?

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 Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 7: Continuous Probability Distributions

Calculus Scores: Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.) -What is the probability that a randomly selected student will have a score between 80 and 90?

A worker earns $16 per hour at a plant and is told that only 5% of all workers make a higher wage. If the wage is assumed to be normally distributed and the standard deviation of wage rates is $5 per hour, find the average wage for the plant workers per hour.

The F distribution has two parameters called degrees of freedom, ν\nuν 1 and ν\nuν 2. We call ν\nuν 1 the ____________________ degrees of freedom, and we call ν\nuν 2 the ____________________ degrees of freedom.

A continuous random variable is one that can assume an uncountable number of values.

Waiting Time: The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours. -What is the probability that a patient would have to wait exactly one hour?

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. -What is the probability of a new graduate receiving a salary between $45,000 and $50,000?

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -What is the median amount of time it takes a student to finish the test?

Continuous probability distributions describe probabilities associated with random variables that are able to assume any finite number of values along an interval.

Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the median waiting time for this subway?

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

The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

A standard normal distribution is a normal distribution with:

Which of the following represents a difference between continuous and discrete random variables?

What number corresponds to t0.05,10?

Diet: Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 10 pounds and a standard deviation of 5 pounds. -What proportion of the dieters gained weight?

P(Z > 3.00) is approximately ____________________.

A random variable X has a normal distribution with a mean of 250 and a standard deviation of 50. Given that X = 175, its corresponding value of Z is -1.50.

Calculus Scores: Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.) -What is the probability that a randomly selected student will have a score of 94 or lower?

The value of an F distribution with v1 = 5 and v2 = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.

Subway Waiting Time: At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. -What is the probability of waiting no more than 3 minutes?

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 Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

The F distribution has two parameters called degrees of freedom, $\nu$ ₁ and $\nu$ ₂. We call $\nu$ ₁ the degrees of freedom, and we call $\nu$ ₂ the degrees of freedom.

What number corresponds to t_0.05,10?

The value of an F distribution with v₁ = 5 and v₂ = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.