Two college roomates have each commited to donating to charity each week for the next year. The roommates weekly incomes are independent of each other. Suppose the amount donated in a week by one roommate is a random variable with mean $30 and standard deviation $10, and the amount donated in a week by the other roommate is a second random variable with mean $60 and standard deviation $20.  Part a.) Find the mean and standard deviation of the distrubution of their combined incomes. Part b.) Over the next year (52 weeks), how many weeks would you expect the two roommates combined income to be more than $120 ?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Two college roomates have each commited to donating to charity each week for the next year. The roommates weekly incomes are independent of each other. Suppose the amount donated in a week by one roommate is a random variable with mean $30 and standard deviation $10, and the amount donated in a week by the other roommate is a second random variable with mean $60 and standard deviation $20. 

Part a.) Find the mean and standard deviation of the distrubution of their combined incomes.

Part b.) Over the next year (52 weeks), how many weeks would you expect the two roommates combined income to be more than $120 ?

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