Problem 1 (25 Points) At an Apple store, 20% of the people buy MacBook Pro (P), 45% buy MacBook Air (A), and 35% buy iPa
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Problem 1 (25 Points) At an Apple store, 20% of the people buy MacBook Pro (P), 45% buy MacBook Air (A), and 35% buy iPa
Problem 1 (25 Points) At an Apple store, 20% of the people buy MacBook Pro (P), 45% buy MacBook Air (A), and 35% buy iPad Pro (I). Of those people buying MacBook Pro (P), only 55% choose the M1 chip version (M1). Of those people buying MacBook Air (A), 30% choose the M1 chip version (M1), whereas of those buying iPad Pro (1), 80% choose the M1 chip version (M1). a. What is the probability that the next person chooses the M1 chip version (M1)? (8 pts) b. If the next person chooses the M1 chip version (M1), what is the probability that a MacBook Pro (P) is requested? If the next person chooses the M1 chip version (M1), what is the probability that a MacBook Air (A) is requested? If the next person chooses the M1 chip version (M1), what is the probability that an iPad Pro (1) is requested? The answer should be rounded to four decimal places. (8 pts) c. What is the probability that the next person buys a MacBook Pro (P) if this person does not choose the M1 chip version (M1)? The answer should be rounded to four decimal places. (9 pts)
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