5.5-8 (b) For the of n in part P(Yand the of the of a prepackaged(a) If X and Y have the sameX>0.2).5.55.5-7. Suppose that the distribution of the weight of aprepackaged "l-pound bag" of carrots is N(1.18, 0.07-)ou(3)-pound bag" of carrots is N(3.22, 0.09). Selectingbags at random, find the probability that the sum of three1-pound bags exceeds the weight of one 3-pound bag.HINT: First determine the distribution of Y, the sum of thethree, and then compute P(Y > W), where W is the weightof the 3-pound bag.5.5-8. Let X denote the wing length in millimeters of amale gallinule and Y the wing length in millimeters of afemale gallinule. Assume that X is N(184.09, 39.37) andY is N(171.93, 50.88) and that X and Y are independent.If a male and a female gallinule are captured, what is theprobability that X is greater than Y?5.5-9. Suppose that the length of life in hours (say, X) ofa light bulb manufactured by company A is N(800, 14400)and the length of life in hours (say, Y) of a light bulbmanufactured by company B is N(850, 2500). One bulb israndomly selected from each company and is burned until"death."(a) Find the probability that the length of life of the bulbfrom company A exceeds the length of life of the bulbfrom company B by at least 15 hours.(b) Find the probability that at least one of the bulbs"lives" for at least 920 hours.5.5-10. A consumer buys n light bulbs, each of which hasa lifetime that has a mean of 800 hours, a standard devia-tion of 100 hours, and a normal distribution. A light bulbis replaced by another as soon as it burns out. Assuming

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Answered: 5.5-8. Let X denote the male gallinule…

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5.5-8. Let X denote the male gallinule and Y th female gallinule. Assum Y is N(171.93, 50.88) an If a male and a female probability that X is gre

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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