HW #3 and 4

# HW #3 and 4 - HW-3 solution 16(2.1.10 pp.61(a False Sample...

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HW-3 solution 16. (2.1.10, pp.61) (a) False. Sample proportion of defective items is an estimator of the probability of producing defective item (from the process) with inherent variability. (b) True. Same explanation as above. (c) True. As the sample size increases, the variability of sample proportion will be alleviated and the value of sample proportion will approach the true probability 10 17. Let A indicate the event that main data transmission channel functions and B for the backup channel functioning, i.e P( A )=1 0 . 1=0 . 9 , P( B 0 . 15 = 0 . 85 , and P( A B )=0 . 78. P (system works) = P(at least one functions) = P( A B ) add . rule =P ( A )+P( B ) P( A B ) =0 . 9+0 . 85 0 . 78 = 0 . 97 . 18. (Draw venn diagram to assist your understanding) Let L indicates that salad contains lactose and T for tree nuts, i.e. P( L T c . 05 , P( L c T . 07, and P( L T . 03, (a) P( L T )=P( L T c L c T LT . 05 + 0 . 07 + 0 . 03 = 0 . 15 . P(contains neither) = P( L c T c P( L T 0 . 15 = 0 . 85.

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HW #3 and 4 - HW-3 solution 16(2.1.10 pp.61(a False Sample...

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