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dlinn [17]
2 years ago
10

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 perpetuated by the same criminals. The police are investigating nine property crime cases in this district.
Mathematics
1 answer:
dedylja [7]2 years ago
6 0

Answer:

The appropriate answer is "11 crimes".

Step-by-step explanation:

Let,

The number of crimes be "n".

Now,

⇒ P(solved \ at \ least \ one) = 1-P(solved \ none \ of \ n)

or,

⇒ 1-(0.8)^n>0.9

⇒       (0.8)^n

By taking log both sides, we get

⇒ n>=\frac{log(0.1)}{log(0.8)}

By putting the values, we get

⇒ n>=10.31

      n=11 \ crimes

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