In july in seattle, the grass grows 1/2 inch a day on a sunny day and 1/4 inch a day on a cloudy day. in seattle, in july, 75% of the days are sunny and 25% of the days are cloudy.

a. find the expected value of grass growth for the day

b. find the expected value of grass growth for the month of july (31 days) - - round both to 2 decimal placees

Question

Mathematics

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22 August, 16:03

In july in seattle, the grass grows 1/2 inch a day on a sunny day and 1/4 inch a day on a cloudy day. in seattle, in july, 75% of the days are sunny and 25% of the days are cloudy.

a. find the expected value of grass growth for the day

b. find the expected value of grass growth for the month of july (31 days) - - round both to 2 decimal placees

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Answers (1)

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Yadira Sutton · Answer 1

Expected value equals sum of the product of each value and its possibility.

a.

1/2*75％＋1/4*25％=0.4375

the expected value of grass growth for the day is 0.4375

b.

0.4375*31=13.5625

the expected value of grass growth for the month of july is 13.5625