1) THE probability that a visit to a doctor\'s office results in neither lab wor
ID: 3326795 • Letter: 1
Question
1) THE probability that a visit to a doctor's office results in neither lab work nor referral to a specialist lab is 35%. Of those coming to work. Determine to a specialist. a doctor's office, 30% are referred to specialists and 40% require the probably that a visit to a doctor's office results in both lab work and a referral (a) 0.05 (b) 0.12 (c) 0.18 (d) 0.25 (e) 0.35 (2) A blood test indicates the presence of a particular disease 95% of the time when the disease is the actually present. The same test indicates the presence of the disease 0.5% of the time when disease is not present. One percent of the population actually has the disease probability that a person has the disease given that the test indicates the presence of the disease (a) 0.324 (b) 0.657 (c) 0.945 (d) 0.950 (e) 0.995 (3) An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If the number of claims filed has a Poisson distribution, what is the variance of number of claims filed? (a) (b) 1 (c) v2 (d) 2 (e) 4 (4) A bus starts at John M. Greene with 6 people, not including the bas driver. It lets all those people others on-it's very early in the morning) by the time it reaches Amherst College. off (and no There are 8 stops at which passengers number of people leaving at each bus stop. How many possibilities are there? might get off. Suppose the driver only needs to record the (c) 8-7-6.5-4-3 (d) 86 (e) 6%Explanation / Answer
Solution:-
1) a) P(A and B) = 0.05
P(A) = 0.30
P(B) = 0.40
P(Neither A nor B) = 0.35
P(A or B) = 1 - 0.35
P(A or B) = 0.65
P(A or B) = P(A) + P(B) - P(A and B)
P(A and B) = 0.30 + 0.40 - 0.65
P(A and B) = 0.05
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