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Data collected at elementary schools in DeKalb County, GA suggest that each year

ID: 3153914 • Letter: D

Question

Data collected at elementary schools in DeKalb County, GA suggest that each year roughly 25% of students miss exactly one day of school, 15% miss 2 days, and 28% miss 3 or more days due to sickness. If a parent has two kids at a DeKalb County elementary school, what is the probability that both kids will miss some school, i.e. at least one day? Assume that whether or not one kid misses school is independent of the other. Please give your answer as a value between 0 and 1, rounded to 4 decimal places.

Explanation / Answer

Hence, the probability that a kid misses some school is

P(at least one absence) = 0.25+0.15+0.28 = 0.68

Hence,

P(both miss some school) = 0.68*0.68 = 0.4624 [ANSWER]