Statistics - Additional Properties of Binomial Distribution
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Does crime Pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes , the criminals are never found and the case is never solved. Suppose that a neighborhood district in a large city has repeated property crimes, not always by the same criminals. The police are investigating six property crimes cases in this district.
a) What is the probability that none of these crimes will be solved?
b) What is the probability that at least one of these crimes will be solved?
c) What is the expected number of crimes that will be solved? What is the standard deviation?
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Let p = Proportion of the cases solved
p = 0.2, q = 1 - p = 0.8, n = 6
P(r, n) = nCr p^r q^(n - r)
(a) ...
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