6. A department store sells refrigerators from four manufacturers: 40% from Company A, 25% from Company B, 15% from Company C, and the rest come from Company D. Suppose 10% of the refrigerators from Company A, 20% from Company B, 5% from Company C, and 25% from company D last more than 15 years. a) What is the probability that a refrigerator purchased from this department store lasts more than 15 years? Show all work and express your answer as a decimal. P(D)=0.2 P(Last than more than 15 years)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 42E
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6. A department store sells refrigerators from four manufacturers: 40% from Company A, 25% from
Company B, 15% from Company C, and the rest come from Company D. Suppose 10% of the
refrigerators from Company A, 20% from Company B, 5% from Company C, and 25% from company D
last more than 15 years.
a) What is the probability that a refrigerator purchased from this department store lasts more than 15
years? Show all work and express your answer as a decimal.
P(D)=0.2
P(Last than more than 15 years)
= 0.1475
b) If a refrigerator purchased from this department store lasts more than 15 years, what is the
probability that it was made by Company D? Show all work and express your answer as a decimal.
P(Made by company D) = (0.2*0.25)/0.1475 = 0.339
Transcribed Image Text:6. A department store sells refrigerators from four manufacturers: 40% from Company A, 25% from Company B, 15% from Company C, and the rest come from Company D. Suppose 10% of the refrigerators from Company A, 20% from Company B, 5% from Company C, and 25% from company D last more than 15 years. a) What is the probability that a refrigerator purchased from this department store lasts more than 15 years? Show all work and express your answer as a decimal. P(D)=0.2 P(Last than more than 15 years) = 0.1475 b) If a refrigerator purchased from this department store lasts more than 15 years, what is the probability that it was made by Company D? Show all work and express your answer as a decimal. P(Made by company D) = (0.2*0.25)/0.1475 = 0.339
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