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Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solved†. Suppose a neighborhood district in a large city suffers repeated property crimes, not always perpetrated by the same criminals. The police are investigating five property crime cases in this district. (a) What is the probability that none of the crimes will ever be solved? (Round your answer to three decimal places.)'

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Heroine26

Answer:

(a) Each crime has 20% chance of being solved according to the question.

You use Binomial Theorem:

P(x) = nCx*p^x*(1-p)^n-x

where p is probability of solving crime, n is number of crimes, and x is theoretical number of crimes solved

p = 0.2

n = 3

x = 0

P(0) = (0.8)^3 =0.512

Answer = 0.512

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