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.){Calculus Scores Narrative} What is the probability that a randomly selected student will have a score of 80 or higher?

(Essay)

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Question 21

The Student t distribution with parameter v = 2 has a mean E ( t )equal to:

(Multiple Choice)

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Question 22

Which of the following does not represent a continuous uniform random variable?

(Multiple Choice)

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Question 23

What number corresponds to F _0.95,4,8?

(Multiple Choice)

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Question 24

The value of c ² with v degrees of freedom such that the area to its right under the chi-squared curve is equal to A is denoted by , while denotes the value such that the area to its left is A .

(True/False)

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Question 25

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 more than $1,125?

(Essay)

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Question 26

Use the F table to find the following probabilities. a. P ( F _6,14 > 2.85) b. P ( F _20,60 > 2.20) c. P ( F _12,25 > 2.51) d. P ( F _15,30 > 2.01)

(Essay)

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Question 27

The probability density function of a uniform random variable on the interval [0, 5] must be ____________________ for 0 £ x £ 5.

(Short Answer)

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Question 28

The probability that Z is less than - 2 is the same as one minus the probability that Z is greater than +2.

(True/False)

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Question 29

The value of an F distribution with v ₁ = 5 and v ₂ = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.

(True/False)

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Question 30

If X is a continuous random variable on the interval [0, 10], then P ( X = 5)= f (5)= 1\10.

(True/False)

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Question 31

What number corresponds to ?

(Multiple Choice)

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Question 32

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. {Diet Narrative} What proportion of the dieters lost more than 12 pounds?

(Essay)

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Question 33

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive), then the probability that X falls between 12 and 15 is 0.30.

(True/False)

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Question 34

Given that Z is a standard normal variable, the variance of Z :

(Multiple Choice)

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Question 35

The value of a chi-squared distribution with 5 degrees of freedom such that the area to its left is 0.10 is 1.61.

(True/False)

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Question 36

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

(True/False)

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Question 37

Suppose X has a normal distribution with mean 70 and standard deviation 5. The 50^th percentile of X is 70.

(True/False)

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Question 38

Stacy took a math test whose mean was 70 and standard deviation was 5. The total points possible was 100. Stacey's results were reported to be at the 95th percentile. What was Stacey's actual exam score, rounded to the nearest whole number?

(Multiple Choice)

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Question 39

We define as the value of the F with v ₁ and v ₂ degrees of freedom such that the area to its right under the F curve is A , while is defined as the value such that the area to its left is A .

(True/False)

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Question 40

Showing 21 - 40 of 167

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.){Calculus Scores Narrative} What is the probability that a randomly selected student will have a score of 80 or higher?

The Student t distribution with parameter v = 2 has a mean E ( t )equal to:

Which of the following does not represent a continuous uniform random variable?

What number corresponds to F _0.95,4,8?

The value of c ² with v degrees of freedom such that the area to its right under the chi-squared curve is equal to A is denoted by , while denotes the value such that the area to its left is A .

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 more than $1,125?

Use the F table to find the following probabilities. a. P ( F _6,14 > 2.85) b. P ( F _20,60 > 2.20) c. P ( F _12,25 > 2.51) d. P ( F _15,30 > 2.01)

The probability density function of a uniform random variable on the interval [0, 5] must be ____________________ for 0 £ x £ 5.

The probability that Z is less than - 2 is the same as one minus the probability that Z is greater than +2.

The value of an F distribution with v ₁ = 5 and v ₂ = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.

If X is a continuous random variable on the interval [0, 10], then P ( X = 5)= f (5)= 1\10.

What number corresponds to ?

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. {Diet Narrative} What proportion of the dieters lost more than 12 pounds?

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive), then the probability that X falls between 12 and 15 is 0.30.

Given that Z is a standard normal variable, the variance of Z :

The value of a chi-squared distribution with 5 degrees of freedom such that the area to its left is 0.10 is 1.61.

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

Suppose X has a normal distribution with mean 70 and standard deviation 5. The 50^th percentile of X is 70.

Stacy took a math test whose mean was 70 and standard deviation was 5. The total points possible was 100. Stacey's results were reported to be at the 95th percentile. What was Stacey's actual exam score, rounded to the nearest whole number?

We define as the value of the F with v ₁ and v ₂ degrees of freedom such that the area to its right under the F curve is A , while is defined as the value such that the area to its left is A .

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

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.){Calculus Scores Narrative} What is the probability that a randomly selected student will have a score of 80 or higher?

The Student t distribution with parameter v = 2 has a mean E ( t )equal to:

Which of the following does not represent a continuous uniform random variable?

What number corresponds to F 0.95,4,8?

The value of c 2 with v degrees of freedom such that the area to its right under the chi-squared curve is equal to A is denoted by , while denotes the value such that the area to its left is A .

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 more than $1,125?

Use the F table to find the following probabilities. a. P ( F 6,14 > 2.85) b. P ( F 20,60 > 2.20) c. P ( F 12,25 > 2.51) d. P ( F 15,30 > 2.01)

The probability density function of a uniform random variable on the interval [0, 5] must be ____________________ for 0 £ x £ 5.

The probability that Z is less than - 2 is the same as one minus the probability that Z is greater than +2.

The value of an F distribution with v 1 = 5 and v 2 = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.

If X is a continuous random variable on the interval [0, 10], then P ( X = 5)= f (5)= 1\10.

What number corresponds to ?

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. {Diet Narrative} What proportion of the dieters lost more than 12 pounds?

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive), then the probability that X falls between 12 and 15 is 0.30.

Given that Z is a standard normal variable, the variance of Z :

The value of a chi-squared distribution with 5 degrees of freedom such that the area to its left is 0.10 is 1.61.

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

Suppose X has a normal distribution with mean 70 and standard deviation 5. The 50th percentile of X is 70.

Stacy took a math test whose mean was 70 and standard deviation was 5. The total points possible was 100. Stacey's results were reported to be at the 95th percentile. What was Stacey's actual exam score, rounded to the nearest whole number?

We define as the value of the F with v 1 and v 2 degrees of freedom such that the area to its right under the F curve is A , while is defined as the value such that the area to its left is A .

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

What number corresponds to F _0.95,4,8?

The value of c ² with v degrees of freedom such that the area to its right under the chi-squared curve is equal to A is denoted by , while denotes the value such that the area to its left is A .

Use the F table to find the following probabilities. a. P ( F _6,14 > 2.85) b. P ( F _20,60 > 2.20) c. P ( F _12,25 > 2.51) d. P ( F _15,30 > 2.01)

The value of an F distribution with v ₁ = 5 and v ₂ = 10 degrees of freedom such that the area to its left is 0.95 is 3.33.

Suppose X has a normal distribution with mean 70 and standard deviation 5. The 50^th percentile of X is 70.

We define as the value of the F with v ₁ and v ₂ degrees of freedom such that the area to its right under the F curve is A , while is defined as the value such that the area to its left is A .