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 has been caught. Each shoplifter’s sex is noted; also noticed 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        60                                       70                                  Female     44                                       76 146   Assume that an apprehended shoplifter is chosen at random, find The probability that the shoplifter is male The probability that the shoplifter is a first time offender, given that the shoplifter is male The probability that the shoplifter is female and, given that the shoplifter is 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 has been caught. Each shoplifter’s sex is noted; also noticed 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        60                                       70

                                 Female     44                                       76

  • 146

 

Assume that an apprehended shoplifter is chosen at random, find

  • The probability that the shoplifter is male
  • The probability that the shoplifter is a first time offender, given that the shoplifter is male
  • The probability that the shoplifter is female and, given that the shoplifter is a repeat offender
  • The probability that the shoplifter is female and, given that the shoplifter first time offender.
  • The probability that the shoplifter is both male and a repeat offender.
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