Suppose that 70% of shoplifting incidents are performed by repeat offenders. On a particular month, there are 6 shoplifting incidents at the store. Let Y be the number of shoplifting incidents at the store that month done by repeat offenders. Y has a binomial distribution. c. Find the mean and variance of Y d. Find the probability that none of the shoplifting incidents that month were done by repeat offenders e. Find the probability that at least 4 of the shoplifting incidents that month were done by repeat offenders.
Suppose that 70% of shoplifting incidents are performed by repeat offenders. On a particular month, there are 6 shoplifting incidents at the store. Let Y be the number of shoplifting incidents at the store that month done by repeat offenders. Y has a binomial distribution. c. Find the mean and variance of Y d. Find the probability that none of the shoplifting incidents that month were done by repeat offenders e. Find the probability that at least 4 of the shoplifting incidents that month were done by repeat offenders.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Answer C, D and E only. A and B already asked previously. Thanks
Transcribed Image Text:On average, 0.75 shoplifting incidents occur a
week at a store. Let X be the number of
shoplifting incidents occurring over a period of
four weeks.
a. What is the probability distribution X?
Calculate the mean and variance of X.
b. Find the probability that there is at least
one shoplifting incident in the period of
four weeks.
Suppose that 70% of shoplifting incidents are
performed by repeat offenders. On a particular
month, there are 6 shoplifting incidents at the
store. Let Y be the number of shoplifting
incidents at the store that month done by repeat
offenders. Y has a binomial distribution.
C. Find the mean and variance of Y
d. Find the probability that none of the
shoplifting incidents that month were done
by repeat offenders
e. Find the probability that at least 4 of the
shoplifting incidents that month were done
by repeat offenders.
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