Question
1) : You have ordered a package online for a friend. It will arrive on Monday, Tuesday or Wednesday. The probabilities are 0.1, 0.3 and
1) : You have ordered a package online for a friend. It will arrive on Monday, Tuesday or Wednesday. The probabilities are 0.1, 0.3 and 0.6 for the package to arrive on Monday, Tuesday, Wednesday, respectively. If the package arrives on Monday, it arrives damaged with probability 0.3; if it arrives on Tuesday, it is damaged with probability 0.2; and if it arrives on Wednesday, it is damaged with probability 0.1. (a) Find the probability that the package will arrive undamaged. (b) On Thursday, your friend arrives home and learns that the package arrived in a damaged condition. What is the probability that the package arrived on Monday?
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