# probability of the first time offender given he is a male

The Gift Boutique had been the target of many shoplifters in the past, but its newly installed camera security system has helped in the apprehension of 240 "sticky -fingered" customers in the last six months.

A breakdown of these 240 shoplifters revealed the following:

Males=140, 80 were first time offenders and 60 were repeat offenders.

Females = 100, 60 were first time offenders and 40 were repeat offenders

First-time offenders = 140 and repeat offenders =100

A.) What is the probability that the shoplifter is a first-time offender, given that the shoplifter is a male?

B.) What is the probability that the shoplifter is a repeat offender, given that the shoplifter is a female?

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#### Solution Preview

A.)What is the probability that the shoplifter is a first-time offender, given that the shoplifter is a male?

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#### Solution Summary

The solution shows detailed calculation of the conditional probabilities that the shoplifter is a first-time offender given he is a male and that the shoplifter is a repeat offender given she is a female, respectively.