Exam 8: Probability Distributions

A company produces stereo components. The probability of the company producing a defective component is 0.003 . -In the situation above, if 1000 components are produced, find the probability that at least 3 components are defective.

(Short Answer)

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Question 41

One application of the binomial distribution formula or one number in Table V (in your textbook) is always the answer to what kind of question?

(Multiple Choice)

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Question 42

We want to determine the probability of obtaining at most 4 successful operations in 10 independent surgical operations where the probability of success is the same for each operation. The appropriate formula to be used is

(Multiple Choice)

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Question 43

The symbol $p$ in the binomial distribution formula means the probability of _______.

(Short Answer)

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Question 44

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the probability that in this sample exactly 3 applicants are qualified.

(Essay)

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Question 45

The hypergeometric distribution with $n=150, a=20$ , and $b=2180$ can be approximated with a Poisson distribution.

(True/False)

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Question 46

Find the mean and standard deviation of the number of defectives in a sample of 700 parts made by a machine, when the probability is 0.05 that any one of the parts is defective. Use the fact that $\mathrm{x}$ is a binomial random variable. If necessary, round to the nearest thousandth.

(Short Answer)

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Question 47

A company produces stereo components. The probability of the company producing a defective component is 0.003 . -In the situation above, if 1000 components are produced, find the probability that exactly 5 components are defective.

(Short Answer)

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Question 48

Check whether the condition for the binomial approximation to the hypergeometric distribution is satisfied if a $=150, \mathrm{~b}=270$ , and $\mathrm{n}=21$ .

(Short Answer)

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Question 49

The editor of a particular women's magazine claims that the magazine is read by $60 \%$ of the female students on a college campus. -If the above is true, find the probability that in a random sample of 10 female students at most two read the magazine.

(Short Answer)

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Question 50

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that exactly 5 become vice presidents.

(Short Answer)

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Question 51

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least two become vice presidents.

(Short Answer)

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Question 52

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least three become vice presidents.

(Short Answer)

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Question 53

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the variance in the situation above.

(Essay)

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Question 54

Tell whether the given function can serve as the probability distribution of an appropriate random variable. -=\frac{1}{5}\) for $x=0,1,2,3,4$

(True/False)

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Question 55

In a problem involving the hypergeometric distribution, the probability of success remains the same from trial to trial.

(True/False)

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Question 56

The Poisson distribution can be applied in situations which do not involve the binomial distribution.

(True/False)

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Question 57

If a distribution is known to be binomial, the most convenient formula that can be used to calculate the variance is $\sigma^{2}=\sum^{2} p(x)-\mu^{2}$ .

(True/False)

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Question 58

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the standard deviation in the situation above.

(Essay)

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Question 59

A test has 12 multiple-choice questions with four answer choices for each question. Assume a student guesses on all questions.} -In the situation above, find the variance.

(Short Answer)

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Question 60

Showing 41 - 60 of 78

A company produces stereo components. The probability of the company producing a defective component is 0.003 . -In the situation above, if 1000 components are produced, find the probability that at least 3 components are defective.

One application of the binomial distribution formula or one number in Table V (in your textbook) is always the answer to what kind of question?

We want to determine the probability of obtaining at most 4 successful operations in 10 independent surgical operations where the probability of success is the same for each operation. The appropriate formula to be used is

The symbol $p$ in the binomial distribution formula means the probability of _______.

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the probability that in this sample exactly 3 applicants are qualified.

The hypergeometric distribution with $n=150, a=20$ , and $b=2180$ can be approximated with a Poisson distribution.

Find the mean and standard deviation of the number of defectives in a sample of 700 parts made by a machine, when the probability is 0.05 that any one of the parts is defective. Use the fact that $\mathrm{x}$ is a binomial random variable. If necessary, round to the nearest thousandth.

A company produces stereo components. The probability of the company producing a defective component is 0.003 . -In the situation above, if 1000 components are produced, find the probability that exactly 5 components are defective.

Check whether the condition for the binomial approximation to the hypergeometric distribution is satisfied if a $=150, \mathrm{~b}=270$ , and $\mathrm{n}=21$ .

The editor of a particular women's magazine claims that the magazine is read by $60 \%$ of the female students on a college campus. -If the above is true, find the probability that in a random sample of 10 female students at most two read the magazine.

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that exactly 5 become vice presidents.

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least two become vice presidents.

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least three become vice presidents.

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the variance in the situation above.

Tell whether the given function can serve as the probability distribution of an appropriate random variable. -=\frac{1}{5}\) for $x=0,1,2,3,4$

In a problem involving the hypergeometric distribution, the probability of success remains the same from trial to trial.

The Poisson distribution can be applied in situations which do not involve the binomial distribution.

If a distribution is known to be binomial, the most convenient formula that can be used to calculate the variance is $\sigma^{2}=\sum^{2} p(x)-\mu^{2}$ .

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the standard deviation in the situation above.

A test has 12 multiple-choice questions with four answer choices for each question. Assume a student guesses on all questions.} -In the situation above, find the variance.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

Exam 8: Probability Distributions

A company produces stereo components. The probability of the company producing a defective component is 0.003 . -In the situation above, if 1000 components are produced, find the probability that at least 3 components are defective.

One application of the binomial distribution formula or one number in Table V (in your textbook) is always the answer to what kind of question?

We want to determine the probability of obtaining at most 4 successful operations in 10 independent surgical operations where the probability of success is the same for each operation. The appropriate formula to be used is

The symbol ppp in the binomial distribution formula means the probability of _______.

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the probability that in this sample exactly 3 applicants are qualified.

The hypergeometric distribution with n=150,a=20n=150, a=20n=150,a=20 , and b=2180b=2180b=2180 can be approximated with a Poisson distribution.

Find the mean and standard deviation of the number of defectives in a sample of 700 parts made by a machine, when the probability is 0.05 that any one of the parts is defective. Use the fact that x\mathrm{x}x is a binomial random variable. If necessary, round to the nearest thousandth.

A company produces stereo components. The probability of the company producing a defective component is 0.003 . -In the situation above, if 1000 components are produced, find the probability that exactly 5 components are defective.

Check whether the condition for the binomial approximation to the hypergeometric distribution is satisfied if a =150, b=270=150, \mathrm{~b}=270=150, b=270 , and n=21\mathrm{n}=21n=21 .

The editor of a particular women's magazine claims that the magazine is read by 60%60 \%60% of the female students on a college campus. -If the above is true, find the probability that in a random sample of 10 female students at most two read the magazine.

It has been found that 40%40 \%40% of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that exactly 5 become vice presidents.

It has been found that 40%40 \%40% of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least two become vice presidents.

It has been found that 40%40 \%40% of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least three become vice presidents.

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the variance in the situation above.

Tell whether the given function can serve as the probability distribution of an appropriate random variable. -=\frac{1}{5}\) for x=0,1,2,3,4x=0,1,2,3,4x=0,1,2,3,4

In a problem involving the hypergeometric distribution, the probability of success remains the same from trial to trial.

The Poisson distribution can be applied in situations which do not involve the binomial distribution.

If a distribution is known to be binomial, the most convenient formula that can be used to calculate the variance is σ2=∑2p(x)−μ2\sigma^{2}=\sum^{2} p(x)-\mu^{2}σ2=∑2p(x)−μ2 .

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the standard deviation in the situation above.

A test has 12 multiple-choice questions with four answer choices for each question. Assume a student guesses on all questions.} -In the situation above, find the variance.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

The symbol $p$ in the binomial distribution formula means the probability of _______.

The hypergeometric distribution with $n=150, a=20$ , and $b=2180$ can be approximated with a Poisson distribution.

Find the mean and standard deviation of the number of defectives in a sample of 700 parts made by a machine, when the probability is 0.05 that any one of the parts is defective. Use the fact that $\mathrm{x}$ is a binomial random variable. If necessary, round to the nearest thousandth.

Check whether the condition for the binomial approximation to the hypergeometric distribution is satisfied if a $=150, \mathrm{~b}=270$ , and $\mathrm{n}=21$ .

The editor of a particular women's magazine claims that the magazine is read by $60 \%$ of the female students on a college campus. -If the above is true, find the probability that in a random sample of 10 female students at most two read the magazine.

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that exactly 5 become vice presidents.

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least two become vice presidents.

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that at least three become vice presidents.

Tell whether the given function can serve as the probability distribution of an appropriate random variable. -=\frac{1}{5}\) for $x=0,1,2,3,4$

If a distribution is known to be binomial, the most convenient formula that can be used to calculate the variance is $\sigma^{2}=\sum^{2} p(x)-\mu^{2}$ .