If the proportion of a brand of television set requiring service during the first year of operation
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Question:
If the proportion of a brand of television set requiring service during the first year of operation is a random variable having a beta distribution with α = 3 and β = 2.
(a) What is the probability that at least 80% of the new models of this brand sold this year will require service during their first year of operation?
(b) What is the probability that less than 80% of the new models of this brand sold this year will require service during their first year of operation given that 40% require service during this year.
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