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)

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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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