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 gender is noted : also noted is whether the perpetrator was a first – time or repeat offender. The data are summarized in the table . Sex First – Time offender Repeat Offender Male Female 60 44 Total 104 70 76 Total 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.
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 gender is noted : also noted is whether the perpetrator was a first – time or repeat offender. The data are summarized in the table .
Sex
First – Time offender
Repeat Offender
Male
Female
60
44
Total 104
70
76
Total 146
Assuming that an apprehended shoplifter is chosen at random , find :
a) The
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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