HW 2 Solutions

# HW 2 Solutions - STATW1211.005 TR 02:40P-03:55P Prof Zhang...

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STATW1211.005 Prof. Zhang TR 02:40P-03:55P Homework 2 – Solutions Textbook: Probability and statistics for engineering and the sciences (7 th edition) by Jay L. Devore Chapter 2: Question 84 P(pass) = .70 a. (.70)(.70)(.70) = .343 b. 1 – P(all pass) = 1 - .343 = .657 c. P(exactly one passes) = (.70)(.30)(.30) + (.30)(.70)(.30) + (.30)(.30)(.70) = .189 d. P(# pass 1) = P(0 pass) + P(exactly one passes) = (.3) 3 + .189 = .216 P(3 pass | 1 or more pass) = Question 90 a. b. c. # having at least 1 of the 10 best = 1140 - # of crews having none of 10 best = 1140 - - 120 = 1020 d. P(best will not work) = Question 105 a. P(all different) = P(at least two the same) = 1 - .883 = .117 b. P(at least two the same) = .476 for k=22, and = .507 for k=23 c. P(at least two have the same SS number) = 1 – P(all different) = = 1 - .956 = .044 Thus P(at least one “coincidence”) = P(BD coincidence SS coincidence) = .117 + .044 – (.117)(.044) = .156 Question 106 29. a.

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HW 2 Solutions - STATW1211.005 TR 02:40P-03:55P Prof Zhang...

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