Question

According to a survey, 47% of adults are concerned that Social Security numbers are used for general identification. For a group of eight adults selected at random, we used Minitab to generate the binomial probability distribution and the cumulative binomial probability distribution (menu selections right-pointing arrowhead Calc right-pointing arrowhead Probability Distributions right-pointing arrowhead Binomial). Number r 0 1 2 3 4 5 6 7 8 P(r) 0.006226 0.044169 0.137091 0.243143 0.269521 0.191208 0.084781 0.021481 0.002381 P(<=r) 0.00623 0.05040 0.18749 0.43063 0.70015 0.89136 0.97614 0.99762 1.00000 (a) Find the probability that out of eight adults selected at random, at most five are concerned about Social Security numbers being used for identification. Do the problem by adding the probabilities P(r = 0) through P(r = 5). (Round your answer to three decimal places.) Is this the same as the cumulative probability P(r ≤ 5)? Yes No (b) Find the probability that out of eight adults selected at random, more than five are concerned about Social Security numbers being used for identification. First, do the problem by adding probabilities P(r = 6) through P(r = 8). (Round your answer to three decimal places.) Now do the problem by subtracting the cumulative probability P(r ≤ 5) from 1. (Round your answer to three decimal places.) Do you get the same results? Yes No

Answer 1