p larry hat moro than ono man among the three scleeted from t this marker? Brazi
ID: 3044959 • Letter: P
Question
p larry hat moro than ono man among the three scleeted from t this marker? Brazilian scientists have identified a new strain of the HINI virus. Public health officials wish to study the population of residents in Rio de Janeiro. Suppose that in this population the probability of catching the usual strain is 0.10, the probability of catching the new strain is 0.05, and the probability of catching both strains is 0.01. (a) Define event A as "the usual strain is caught by a resident in Rio de Janeiro" and event B as "the new strain is caught by an individual a resident in Rio de Janeiro". Are A and B independent? Explain. Are A and B mutually exclusive? Explain. (b) What is the probability of catching the usual strain or the new strain?Explanation / Answer
a and b are done correctly
c) probability of usual strain given new strain =P(A|B) =P(A n B)/P(B) =0.01/0.05=0.20
d)P(Ac|Bc ) =P(Ac n Bc)/P(Bc) =(1-P(A U B))/(1-P(B)) =(1-0.14)/(1-0.05) =0.86/0.95 =0.9053
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