Exam 7: Discrete Probability Distributions

A basketball player makes 80% of her free throws. Suppose this probability is the same for each free throw she attempts. What is probability that she makes more than 5 free throw attempts this season?

(Multiple Choice)

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Question 41

The hypergeometric distribution must be used instead of the binomial distribution when

(Multiple Choice)

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Question 42

The formula for the mean of a discrete uniform distribution is

(Multiple Choice)

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Question 43

On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval. Using the Poisson distribution, the probability that five cars will arrive during the next five-minute interval is ___.

(Multiple Choice)

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Question 44

A student randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?

(Multiple Choice)

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Question 45

For a discrete uniform distribution, if a = 4 and b = 5, what is the expected value?

(Multiple Choice)

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Question 46

Aluminum castings are processed in lots of five each. A sample of two castings is randomly selected from each lot for inspection. A particular lot contains one defective casting; and x is the number of defective castings in the sample. P(x=0) is ___.

(Multiple Choice)

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Question 47

Which of the following conditions is $\textbf{ not }$ a condition for the hypergeometric distribution?

(Multiple Choice)

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Question 48

The assumption of independent trials in a binomial distribution is $\textbf{ not }$ a great concern if the sample size is smaller than 1/20^th of the population size.

(True/False)

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Question 49

For a binomial distribution in which the probability of success is π = 0.5, the variance is twice the mean.

(True/False)

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Question 50

The number of defects per 1,000 feet of extruded plastic pipe is best modelled with the ___.

(Multiple Choice)

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Question 51

Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards. A sample of seven boards is randomly selected from each lot for inspection. A particular batch contains two defective boards; and x is the number of defective boards in the sample. P(x=0) is ___.

(Multiple Choice)

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Question 52

Suppose 18 major companies operate in Canada and 12 are located in Alberta. If three companies are randomly selected from the entire list, what is the probability that none is from Alberta?

(Short Answer)

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Question 53

A hypergeometric distribution applies to experiments in which the trials represent sampling with replacement.

(True/False)

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Question 54

Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

(True/False)

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Question 55

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample, P(x=1) is ___.

(Multiple Choice)

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Question 56

Suppose X has a geometric distribution with probability 0.3 of success on each observation. The probability that X is 4 is

(Multiple Choice)

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Question 57

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

(True/False)

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Question 58

The probability that a student will pass an exam on any trial is 0.7. What is the probability that he will pass on the first trial?

(Multiple Choice)

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Question 59

The distribution of the number grade one students per household in a rural community is shown below. In this distribution, the random variable x is the number grade one students per household: The mean (average) value of x is ___.

(Multiple Choice)

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Question 60

Showing 41 - 60 of 85

A basketball player makes 80% of her free throws. Suppose this probability is the same for each free throw she attempts. What is probability that she makes more than 5 free throw attempts this season?

The hypergeometric distribution must be used instead of the binomial distribution when

The formula for the mean of a discrete uniform distribution is

On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval. Using the Poisson distribution, the probability that five cars will arrive during the next five-minute interval is ___.

A student randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?

For a discrete uniform distribution, if a = 4 and b = 5, what is the expected value?

Aluminum castings are processed in lots of five each. A sample of two castings is randomly selected from each lot for inspection. A particular lot contains one defective casting; and x is the number of defective castings in the sample. P(x=0) is ___.

Which of the following conditions is $\textbf{ not }$ a condition for the hypergeometric distribution?

The assumption of independent trials in a binomial distribution is $\textbf{ not }$ a great concern if the sample size is smaller than 1/20^th of the population size.

For a binomial distribution in which the probability of success is π = 0.5, the variance is twice the mean.

The number of defects per 1,000 feet of extruded plastic pipe is best modelled with the ___.

Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards. A sample of seven boards is randomly selected from each lot for inspection. A particular batch contains two defective boards; and x is the number of defective boards in the sample. P(x=0) is ___.

Suppose 18 major companies operate in Canada and 12 are located in Alberta. If three companies are randomly selected from the entire list, what is the probability that none is from Alberta?

A hypergeometric distribution applies to experiments in which the trials represent sampling with replacement.

Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample, P(x=1) is ___.

Suppose X has a geometric distribution with probability 0.3 of success on each observation. The probability that X is 4 is

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

The probability that a student will pass an exam on any trial is 0.7. What is the probability that he will pass on the first trial?

The distribution of the number grade one students per household in a rural community is shown below. In this distribution, the random variable x is the number grade one students per household: The mean (average) value of x is ___.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Continuous Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

Exam 7: Discrete Probability Distributions

A basketball player makes 80% of her free throws. Suppose this probability is the same for each free throw she attempts. What is probability that she makes more than 5 free throw attempts this season?

The hypergeometric distribution must be used instead of the binomial distribution when

The formula for the mean of a discrete uniform distribution is

On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval. Using the Poisson distribution, the probability that five cars will arrive during the next five-minute interval is ___.

A student randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?

For a discrete uniform distribution, if a = 4 and b = 5, what is the expected value?

Aluminum castings are processed in lots of five each. A sample of two castings is randomly selected from each lot for inspection. A particular lot contains one defective casting; and x is the number of defective castings in the sample. P(x=0) is ___.

Which of the following conditions is not \textbf{ not } not a condition for the hypergeometric distribution?

The assumption of independent trials in a binomial distribution is not \textbf{ not } not a great concern if the sample size is smaller than 1/20th of the population size.

For a binomial distribution in which the probability of success is π = 0.5, the variance is twice the mean.

The number of defects per 1,000 feet of extruded plastic pipe is best modelled with the ___.

Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards. A sample of seven boards is randomly selected from each lot for inspection. A particular batch contains two defective boards; and x is the number of defective boards in the sample. P(x=0) is ___.

Suppose 18 major companies operate in Canada and 12 are located in Alberta. If three companies are randomly selected from the entire list, what is the probability that none is from Alberta?

A hypergeometric distribution applies to experiments in which the trials represent sampling with replacement.

Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample, P(x=1) is ___.

Suppose X has a geometric distribution with probability 0.3 of success on each observation. The probability that X is 4 is

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

The probability that a student will pass an exam on any trial is 0.7. What is the probability that he will pass on the first trial?

The distribution of the number grade one students per household in a rural community is shown below. In this distribution, the random variable x is the number grade one students per household: The mean (average) value of x is ___.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Continuous Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

Which of the following conditions is $\textbf{ not }$ a condition for the hypergeometric distribution?

The assumption of independent trials in a binomial distribution is $\textbf{ not }$ a great concern if the sample size is smaller than 1/20^th of the population size.