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In: Statistics and Probability

1. Suppose approximately 80% of all marketing personnel are extroverts, whereas about 55% of all computer...

1. Suppose approximately 80% of all marketing personnel are extroverts, whereas about 55% of all computer programmers are introverts. (For each answer, enter a number. Round your answers to three decimal places.)

(a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts?


What is the probability that 5 or more are extroverts?


What is the probability that all are extroverts?

(b) In a group of 4 computer programmers, what is the probability that none are introverts?


What is the probability that 2 or more are introverts?


What is the probability that all are introverts?

2.  Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. (Source: The Book of Risks, by Larry Laudan, John Wiley and Sons) Suppose you are a news reporter following ten criminal trials. (For each answer, enter a number.)

(a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? (Round your answer to three decimal places.)


What is this probability if the trials were in the United States? (Round your answer to three decimal places.)

(b) Of the ten trials, what is the expected number of guilty verdicts in Japan? (Round your answer to two decimal places.)
verdicts

What is the expected number in the United Sates? (Round your answer to two decimal places.)
verdicts

What is the standard deviation in Japan? (Round your answer to two decimal places.)
verdicts

What is the standard deviation in the United States? (Round your answer to two decimal places.)
verdicts

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orchestra answered 1 year ago
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