SOLUTION: allergist claims that 50% of the patients she tests are allergic to some type of weed. what is the probability that (a) exactly 3 of her next 4 patients are allergic to weed? (b) n

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Question 1195754: allergist claims that 50% of the patients she tests are allergic to some type of weed. what is the probability that (a) exactly 3 of her next 4 patients are allergic to weed? (b) none of her next 4 patients are allergic to weed.
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
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It is the binomial distribution type problem.

(A)  P = C%5B4%5D%5E3%2A0.5%5E3%2A0.5 = 3%2A0.5%5E4 = 3%2F16 = 0.1875 = 18.75%.    ANSWER



(B)  P = 0.5%5E4 = 1%2F16 = 0.0625 = 6.25%.    ANSWER

Solved.