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Statistics Homework Solutions 81

# Statistics Homework Solutions 81 - 81 SECTION 4.3(d Let N...

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SECTION 4.3 81 (d) Let N be the number of defective components, and let X be the number that are repairable. P N 15 X 10 P N 15 P X 10 N 15 e 20 20 15 15! 15! 10! 15 10 ! 0 6 10 1 0 6 15 10 0 00960 15. Let V be the required volume, in mL. Let X be the number of particles in a volume V . P X 1 1 P X 0 0 99, so P X 0 0 01. Then X Poisson 0 5 V , so P X 0 e 0 5 V 0 5 V 0 0! e 0 5 V . Therefore e 0 5 V 0 01, so V 2ln0 01 9 210 mL. 17. Let λ 1 be the mean number of chips per cookie in one of Mom’s cookies, and let λ 2 be the mean number of chips per cookie in one of Grandma’s cookies. Let X 1 and X 2 be the numbers of chips in two of Mom’s cookies, and let Y 1 and Y 2 be the numbers of chips in two of Grandma’s cookies. Then X i Poisson λ 1 and Y i Poisson λ 2 . The observed values are
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