Friendly's Department Store has been the target of many shoplifters during the past month, but owing to increased security precautions, 250 shoplifters have been caught. Each shoplifter's sex is noted; also noted is whether the perpetrator was a first-time or repeat offender. The data are Q2. summarized in the table. Sex First-Time Offender Repeat Offender Male 60 70 Female 44 104 146 Assuming that an apprehended shoplifter is chosen at random, find (a) The probability that the shoplifter is male. The probability that the shoplifter is a first- time offender, given that the shoplifter is male. (c) (b) The probability that the shoplifter is female, given that the shoplifter is a repeat offender.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Friendly's Department Store has been the
target of many shoplifters during the past month,
but owing to increased security precautions, 250
shoplifters have been caught. Each shoplifter's sex
is noted; also noted is whether the perpetrator was
a first-time or repeat offender. The data are
Q2.
summarized in the table.
Sex
First-Time Offender
Repeat
Offender
Male
60
70
Female
44
104
146
Assuming that an apprehended shoplifter is chosen
at random, find
(a)
The probability that the shoplifter is male.
The probability that the shoplifter is a first-
time offender, given that the shoplifter is male.
(c)
(b)
The probability that the shoplifter is female,
given that the shoplifter is a repeat offender.
Transcribed Image Text:Friendly's Department Store has been the target of many shoplifters during the past month, but owing to increased security precautions, 250 shoplifters have been caught. Each shoplifter's sex is noted; also noted is whether the perpetrator was a first-time or repeat offender. The data are Q2. summarized in the table. Sex First-Time Offender Repeat Offender Male 60 70 Female 44 104 146 Assuming that an apprehended shoplifter is chosen at random, find (a) The probability that the shoplifter is male. The probability that the shoplifter is a first- time offender, given that the shoplifter is male. (c) (b) The probability that the shoplifter is female, given that the shoplifter is a repeat offender.
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