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June 2, 2024

DISCREET DISTRIBUTION QUIZ

Joanna Garcia Name ____________________ DISCREET DISTRIBUTION QUIZ 1. A 28-year-old man pays $181 for a one-year life insurance policy with coverage of $150,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy? E= Payout x Probability Answer: E = $150,000 x 0.9994 = $149,910 2. An archer is able to hit the bull’s-eye 45% of the time. If she shoots 9 arrows, what is the probability that she gets exactly 4 bull’s-eyes? Assume each shot is independent of the others. 3. The SJPD must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution. Find the probability that more than two tickets are written on a randomly selected day. 4. In a certain college, 30% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 3 belong to an ethnic minority? 5. If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.

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