M 00 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 192 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. E8 B Shirt Jacket Male 61 77 Female 19 35 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 female? 0 (b) What is the probability that the employee is female or prefers a jacket? S
M 00 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 192 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. E8 B Shirt Jacket Male 61 77 Female 19 35 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 female? 0 (b) What is the probability that the employee is female or prefers a jacket? S
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Analyzing Employee Preferences in Company Apparel**
A company has both male and female employees. The company offers shirts and jackets with the company logo to give away to employees. A manager surveyed each of the company's 192 employees to determine their preference for these clothing items. The preferences, categorized by gender, are summarized in the table below:
| | Shirt | Jacket |
|-----------------|-------|--------|
| Male | 61 | 77 |
| Female | 19 | 35 |
Suppose an employee of the company is chosen at random. Answer each part below. Do not round intermediate computations, and round your answers to the nearest hundredth.
(a) What is the probability that the employee is female?
(b) What is the probability that the employee is female or prefers a jacket?
*Explanation of Table:* The table displays the distribution of preferences among male and female employees for the shirts and jackets offered by the company. The number of males who prefer shirts and jackets is 61 and 77, respectively. For females, 19 prefer shirts, while 35 prefer jackets.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F424746dd-29d3-476a-868c-5a06ada19580%2Ff5ea2233-95b9-42a3-96b1-dd3ceed074d2%2Fmimn1e6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Analyzing Employee Preferences in Company Apparel**
A company has both male and female employees. The company offers shirts and jackets with the company logo to give away to employees. A manager surveyed each of the company's 192 employees to determine their preference for these clothing items. The preferences, categorized by gender, are summarized in the table below:
| | Shirt | Jacket |
|-----------------|-------|--------|
| Male | 61 | 77 |
| Female | 19 | 35 |
Suppose an employee of the company is chosen at random. Answer each part below. Do not round intermediate computations, and round your answers to the nearest hundredth.
(a) What is the probability that the employee is female?
(b) What is the probability that the employee is female or prefers a jacket?
*Explanation of Table:* The table displays the distribution of preferences among male and female employees for the shirts and jackets offered by the company. The number of males who prefer shirts and jackets is 61 and 77, respectively. For females, 19 prefer shirts, while 35 prefer jackets.
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