Binomal Distribution for Property Crime

Does Crime Pay? The FBI standard Survey of Crimes showed that forabout 80% of all property crimes (burglary, larceny, car theft,etc.) the criminals are never found andthe case is never solved.Suppose that a neighborhood district in a large city has repeatedproperty crimes, not always by the same criminals. The policeareinvestigating six property crimes in this district.

(a) What is the probability that none of the crimes will ever besolved?
(b) What is the probability that at least one crime will besolved?
(c) What is the expected number of crimes that will be solved? Whatis the standard deviation?


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