SOLUTION: Seattle Greenery: In July in Seattle, the grass grows ½ in a day on a sunny day and ¼ in a day on a cloudy day. In Seattle in July, 75% of the days are sunny and 25% are cloudy
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Question 312401: Seattle Greenery: In July in Seattle, the grass grows ½ in a day on a sunny day and ¼ 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.
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.