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Expected Earnings From Mowing Lawns for Extra Cash

APSTAT-XO5EA1

Throughout high school, Jerry has been mowing lawns over the summer to earn extra cash. He has a few regular customers whose lawn he mows every week and others that he mows lawn for less frequently. He has kept very good records and knows that the number of lawns he mows each week is always between $5$ and $8$. The distribution is shown below.

# of Lawns (X) 5 6 7 8
p(X) 0.41 0.35 0.21 0.03



Now that Jerry is getting ready for college, his younger brother Ben (who is just entering high school) wants to take over the lawn mowing business.

On average, how much money can Ben expect to make per week if he charges \$$25$ per lawn and is able to keep the same customers his brother had throughout high school?

A

\$$5.86 $

B

\$$125.00 $

C

\$$146.50 $

D

\$$150.00 $

E

\$$162.50 $