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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 shop lifters have been caught. Each shoplifter’s sex is noted: also noted is whether the perpetrator was a first time or repeated offender. The data are summarized in the table below: Sex First time offender Repeat offender Male 60 70 Female 44 76 Total 104 146   Assuming that an apprehended shoplifter is chosen at random, find The probability that the shoplifter is male? The probability that the shop lifter is a first time offender given that the lifter is male? The probability that the shop lifter is female, given that the lifter is a first time offender? The probability that the shop lifter is female, given that the shoplifter is a first time offender? The probability that the shop lifter is both a 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 shop lifters have been caught. Each shoplifter’s sex is noted: also noted is whether the perpetrator was a first time or repeated offender. The data are summarized in the table below: Sex First time offender Repeat offender Male 60 70 Female 44 76 Total 104 146   Assuming that an apprehended shoplifter is chosen at random, find The probability that the shoplifter is male? The probability that the shop lifter is a first time offender given that the lifter is male? The probability that the shop lifter is female, given that the lifter is a first time offender? The probability that the shop lifter is female, given that the shoplifter is a first time offender? The probability that the shop lifter is both a male and a repeat offender?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 shop lifters have been caught. Each shoplifter’s sex is noted: also noted is whether the perpetrator was a first time or repeated offender. The data are summarized in the table below:

Sex

First time offender

Repeat offender

Male

60

70

Female

44

76

Total

104

146

 

Assuming that an apprehended shoplifter is chosen at random, find

  1. The probability that the shoplifter is male?
  2. The probability that the shop lifter is a first time offender given that the lifter is male?
  3. The probability that the shop lifter is female, given that the lifter is a first time offender?
  4. The probability that the shop lifter is female, given that the shoplifter is a first time offender?
  5. The probability that the shop lifter is both a male and a repeat offender?
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