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Category: Mathematics

1. The probability of exactly r success out of n trials is: a)geometric distribution b) binomial distribution c) Poisson distribution

2. The probability of r successes in an interval is: a)geometric distribution b) binomial distribution c) Poisson distribution

3. The probability that the first success occurs on the nth trial is: a)geometric distribution b)binomial distribution c) Poisson distribution

4. Given In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value.

5. Given In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value.

6. Collin has just been given a 10-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Collin has not attended class recently, he doesn’t know any of the answers. Assuming that Collin guesses on all 10 questions, find the indicated probabilities.

 

What is the probability that he will answer all questions incorrectly? (three decimal places please)

 

7. Collin has just been given a 10-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Collin has not attended class recently, he doesn’t know any of the answers. Assuming that Collin guesses on all 10 questions, find the indicated probabilities.

 

What is the probability that he will answer at least half the questions correctly? (three decimal places please)

8. Bob is a recent law school graduate who intends to take the state bar exam. According to the National Conference on Bar Examiners, about 57% of all people who take the state bar exam pass. Let n = 1, 2 ,3, …. represent the number of times a person takes the bar exam until the first pass.

 

What formula do you use?

9. Bob is a recent law school graduate who intends to take the state bar exam. According to the National Conference on Bar Examiners, about 57% of all people who take the state bar exam pass.

What is the probability that Bob first passes the bar exam on the second try? (3 decimal places please)

10. Bob is a recent law school graduate who intends to take the state bar exam. According to the National Conference on Bar Examiners, about 57% of all people who take the state bar exam pass.

 

what is the probability that Bob needs three attempts to pass the bar exam? (three decimal places please)

 

 

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