A survey of 200 employees at ACME, Inc. recorded the employee's gender and his/her payroll classification....

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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 Female 27 40 29 96 Male 44 42 TOTAL 71 82 18 47 104 200 (a) What is the probability a randomly selected employee is male or not full-time hourly? (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. 2. An engineer working for a toy company in Lima, Ohio has designed a yo-yo so that the toy will extend from 1 feet to 5 feet according to a uniform distribution when released. What is the likelihood the yo-yo extends between 2.25 feet and 3.15 feet upon release? Interpret the result. 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 Female 27 40 29 96 Male 44 42 TOTAL 71 82 18 47 104 200 (a) What is the probability a randomly selected employee is male or not full-time hourly? (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. 2. An engineer working for a toy company in Lima, Ohio has designed a yo-yo so that the toy will extend from 1 feet to 5 feet according to a uniform distribution when released. What is the likelihood the yo-yo extends between 2.25 feet and 3.15 feet upon release? Interpret the result.