Data collected at elementary schools in a certain county in the US suggest that
ID: 3354303 • Letter: D
Question
Data collected at elementary schools in a certain county in the US suggest that each year roughly 26% of students mes exact y one day of school, 16% miss 2 days, and 29% miss 3 or more days due to sickness. (a) What is the probability that a student chosen at random doesn't miss any days of school due to sickness this year? (Enter your answer to two decimal places.) (b) What is the probability that a student chosen at randon misses no more than one day(Eter your answer to two decimal places. (c)What is the probability that a student chosen at random misses at least one day? (Enter your answer to two decimal places.) (d)I a parent has two kids at an elementary school in this county, what is the probabilty that neither kid will miss any school? Assume the probabilities are independent. (Enter your answer to four decimal places.) (e) If a parent has two kids at an elementary school in this county, what is the probabilty that both kids will miss some school, i.e., at least one day? Assume the probabilities are independent. your answer to four decimal places.) (f Do you think it was reasonable to assume the probabilities are independent in parts (d) and (e)? The kids are siblings, and if one gets sick it probably Sctthe chance that the other one gets sick. So whether or not one misses school due to sickness is probablySelect of the other.Explanation / Answer
a) probability =1-0.26-0.16-0.29=0.29
b)P(X<=1) =P(X=0)+P(X=1) =0.29+0.26=0.55
c) P(X>=1) =1-P(X=0)=1-0.29 =0.71
d) P(neither will miss) =0.29*0.29=0.0841
e)probability =(1-0.29)*(1-0.29)=0.5041
f)please provide the options
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