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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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?
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