Question: AP statistics Question Two college roommates have each committed to donating to charity each week for the next year. The roomates' weekly incomes are independent
AP statistics Question
Two college roommates have each committed to donating to charity each week for the next year. The roomates' weekly incomes are independent of each other. Suppose the amount donated in a week by one roommate is approximately normal with mean $30 and standard deviation $10, and the amount donated in a week by the other roommate is approximately normal with mean $60 and standard deviation $200. Which of the following is closest to the expected number of weeks in a 52-week year that their combined donation will exceed $120?
(A) 0; the combined donation never exceeds $120 in a week
(B) 1 week
(C) 3 weeks
(D) 5 weeks (answer)
(E) 8 weeks
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