STA 2023 Lecture Notes - Lecture 15: Probability Distribution, Standard Deviation, Random Variable
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A disease has a survival rate of 30% without treatment. A new treatment is given to 10 patients with the disease: find the probability of at least 6 surviving assuming the treatment has no effect. p(x 6) = 0. 047 (cid:862)at least(cid:863) (cid:862)at (cid:373)ost(cid:863) find these on table. = 10 } p = 0. 3 } 30% w/o treatment: if we observe 7 patients survive, what can you conclude about the treatment. p(x = 7) = p(x 7) p(x 6) A poll of 15 voters is taken in a large city. The purpose is to determine x, the number in favor of a certai(cid:374) ca(cid:374)didate for (cid:373)a(cid:455)or. Uppose that (cid:1010)(cid:1004)% of all the cit(cid:455)"s (cid:448)oters fa(cid:448)or this ca(cid:374)didate. it works: find the mean and standard deviation of x. = 3. 6 = 1. 9: find the probability of at most 7 favoring. p(x 7) = 0. 213, find the probability of more than 10 favoring. p( x > 10) = 1 p(x 10)
