# sol1 - IE 121 HOMEWORK 1 SOLUTIONS 3-95 Let Ai denote the...

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IE 121 HOMEWORK# 1 SOLUTIONS 3-95. Let A i denote the event that the ith bolt selected is not torqued to the proper limit. a) Then, P A A A A P A A A A P A A A P A A A A P A A A P A A P A ( ) ( ) ( ) ( ) ( ) ( ) ( ) . 1 2 3 4 4 1 2 3 1 2 3 4 1 2 3 3 1 2 2 1 1 2 17 3 18 4 19 5 20 0 282 = = = = b) Let B denote the event that at least one of the selected bolts are not properly torqued. Thus, B' is the event that all bolts are properly torqued. Then, P(B) = 1 - P(B') = 1 15 20 14 19 13 18 12 17 0 718 - = . 3-108. Let E denote the probability that none of the bolts are identified as incorrectly torqued. The requested probability is P(E'). Let X denote the number of bolts in the sample that are incorrect. Then,

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sol1 - IE 121 HOMEWORK 1 SOLUTIONS 3-95 Let Ai denote the...

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