TOTAL 71 47 (a) What is the probability a randomly selected employee is male or not full-time hourly? 82 200 (b) What is the probability a randomly selected employee is male given the employee is part-time ho (c) Are the events salary and female independent? Justify.

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Question 1 - Conditional Probability Please solve the problem with simple probability rules (no Excel)
1. A survey of 200 employees at ACME, Inc. recorded the employee's gender and his/her payroll classification. Below are
the data?
Hourly (PT) Hourly (FT) Salary TOTAL
29
96
Female
Male
18
104
TOTAL
47
200
(a) What is the probability a randomly selected employee is male or not full-time hourly?
27
44
71
40
42
82
(b) What is the probability a randomly selected employee is male given the employee is part-time hourly?
(c) Are the events salary and female independent? Justify.
Transcribed Image Text:1. A survey of 200 employees at ACME, Inc. recorded the employee's gender and his/her payroll classification. Below are the data? Hourly (PT) Hourly (FT) Salary TOTAL 29 96 Female Male 18 104 TOTAL 47 200 (a) What is the probability a randomly selected employee is male or not full-time hourly? 27 44 71 40 42 82 (b) What is the probability a randomly selected employee is male given the employee is part-time hourly? (c) Are the events salary and female independent? Justify.
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