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hw7_sol - Statistics 528 – Homework 7 Solutions 5.2(a No...

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Statistics 528 – Homework 7 Solutions 5.2 (a) No, not a fixed number of trials. (b) Yes, we choose a sample of fixed size and since 100 persons are chosen at random, each person in the sample has the same probability of opposing the death penalty ran on sentence (the proportion of adult residents in the city opposing the death penalty). Furthermore, sampling 100 persons from a large city makes it reasonable to assume that outcomes (oppose or not oppose) are independent. (c) Yes, we have a fixed number of trials (52 weeks), outcomes (win or lose) are independent due to the random selection of winning number, and the probability of winning is the same each week. 5.6 (a) Use table C. If 80% graduate, then 20% fail to graduate. Probability that 11 graduate is the same as the probability that 9 fail to graduate. This is 0.0074. (b) Having 11 or fewer graduate is the same as 9 or more failing to graduate. This is 0.0074+0.0020+0.0005+0.0001=0.01 5.8 (a) mean =20*0.8=16. (b) standard deviation=square root(20*0.8*0.2)=1.789.
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