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A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 216 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Shirt Jacket Male 61 49 Female 15 91 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee is male? (b) What is the probability that the employee is male or prefers a jacket?

A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 216 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Shirt Jacket Male 61 49 Female 15 91 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee is male? (b) What is the probability that the employee is male or prefers a jacket?

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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### Employee Clothing Preferences A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. The preferences, based on gender, are summarized in the table below, out of the company's 216 employees: | | Shirt | Jacket | |---------|-------|--------| | Male | 61 | 49 | | Female | 15 | 91 | #### Questions: Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (a) What is the probability that the employee is male? (b) What is the probability that the employee is male or prefers a jacket? ### Solutions: - Use probability formulas from relevant resources as needed. - Consider total counts and use relevant probability rules to solve each part. ### Explanation: 1. **Probability that the employee is male:** - Total number of male employees = 61 (shirt) + 49 (jacket) = 110. - Probability (Male) = Total males / Total employees = 110 / 216. 2. **Probability that the employee is male or prefers a jacket:** - Total employees who prefer a jacket = 49 (male) + 91 (female) = 140. - Use the formula: P(Male or Jacket) = P(Male) + P(Jacket) - P(Male and Jacket). - Calculate and simplify to find the final probability. Ensure that all values are rounded appropriately and check calculations to confirm accuracy.
Transcribed Image Text:### Employee Clothing Preferences A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. The preferences, based on gender, are summarized in the table below, out of the company's 216 employees: | | Shirt | Jacket | |---------|-------|--------| | Male | 61 | 49 | | Female | 15 | 91 | #### Questions: Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (a) What is the probability that the employee is male? (b) What is the probability that the employee is male or prefers a jacket? ### Solutions: - Use probability formulas from relevant resources as needed. - Consider total counts and use relevant probability rules to solve each part. ### Explanation: 1. **Probability that the employee is male:** - Total number of male employees = 61 (shirt) + 49 (jacket) = 110. - Probability (Male) = Total males / Total employees = 110 / 216. 2. **Probability that the employee is male or prefers a jacket:** - Total employees who prefer a jacket = 49 (male) + 91 (female) = 140. - Use the formula: P(Male or Jacket) = P(Male) + P(Jacket) - P(Male and Jacket). - Calculate and simplify to find the final probability. Ensure that all values are rounded appropriately and check calculations to confirm accuracy.
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