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6.2 Exercise 13

Avg difficulty 2.5

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 = 20 I_{A} + 26 I_{B} + 33 I_{C}

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

Pfeiffer, Applied Probability, 6.2 Problems on Random Variables and Probabilities, exercise 13

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