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 Q2. offender. The data are summarized in the table. Sex First-Time Offender Repeat Offender Male 60 70 Female 44 76 104 146 Assuming that an apprehended shoplifter is chosen at random, find (a) The probability that the shoplifter is male. (b) The probability that the shoplifter is a first-time offender, given that the shoplifter is male. (c) The probability that the shoplifter is female, given that the shoplifter is a repeat offender. (d) The probability that the shoplifter is female, given that the shoplifter is a first-time offender. (e) The probability that the shoplifter is both male and a repeat offender.

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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
Q2.
offender. The data are summarized in the table.
Sex
First-Time Offender
Repeat Offender
Male
60
70
Female
44
76
104
146
Assuming that an apprehended shoplifter is chosen at random, find
(a) The probability that the shoplifter is male.
(b) The probability that the shoplifter is a first-time offender, given that the shoplifter is
male.
(c) The probability that the shoplifter is female, given that the shoplifter is a repeat
offender.
(d) The probability that the shoplifter is female, given that the shoplifter is a first-time
offender.
(e) The probability that the shoplifter is both male and 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 Q2. offender. The data are summarized in the table. Sex First-Time Offender Repeat Offender Male 60 70 Female 44 76 104 146 Assuming that an apprehended shoplifter is chosen at random, find (a) The probability that the shoplifter is male. (b) The probability that the shoplifter is a first-time offender, given that the shoplifter is male. (c) The probability that the shoplifter is female, given that the shoplifter is a repeat offender. (d) The probability that the shoplifter is female, given that the shoplifter is a first-time offender. (e) The probability that the shoplifter is both male and a repeat offender.
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