SOLUTION: Seattle Greenery: In July in Seattle, the grass grows � in a day on a sunny day and � in a day on a cloudy day. In Seattle in July, 75% of the days are sunny and 25% are cloudy

Question 312401: Seattle Greenery: In July in Seattle, the grass grows � in a day on a sunny day and � in a day on a cloudy day. In Seattle in July, 75% of the days are sunny and 25% are cloudy
a.) Determine the expected amount of grass growth on a typical day in July in Seattle.

b.) Determine the expected total grass growth in the month of July in Seattle.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Grass growth on a sunny day in July is equal to .5 inches a day.
Grass growth on a cloudy day in July is equal to .25 inches a day.

75% of the days are sunny and 25% are cloudy in July in Seattle.

The typical day in Seattle in July would be .5 * 75% + .25 * 25% = .4375 inches of growth per day.

Since July has 31 days, then the expected amount of grass growth in July in Seattle would be 31 * .4375 = 13.5625 inches of growth.

If we assume 75% sunny days and 25% cloudy days, the ammount of days would be 23.25 sunny days and 7.75 cloudy days on the average.

23.25 * .5 = 11.625 inches of growth on the sunny days.
7.75 * .25 = 1.9375 inches of growth on the cloudy days.
total = 13.5625 inches of growth overall.

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