(Answered) Question james is expecting three checks in the mail for 20

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Question: James is expecting three checks in the mail, for $20, $26, and $33 dollars. Their arrivals are the events A, B, C. Assume the class is independent, with respective probabilities 0.90, 0.75, 0.80. Then

X = 20I_A + 26I_B + 33I_C

represents the total amount received. Determine the distribution for X. What is the probability he receives at least $50? Less than $30?

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