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5.5-9. Suppose that the length of life in hours (say, X) of a light bulb manufactured by company A is N(800, 14400) and the length of life in hours (say, Y) of a light bulb manufactured by company B is N(850, 2500). One bulb is randomly selected from each company and is burned until "death." 14 (a) Find the probability that the length of life of the bulb from company A exceeds the length of life of the bulb from company B by at least 15 hours. (b) Find the probability that at leanct

5.5-9. Suppose that the length of life in hours (say, X) of a light bulb manufactured by company A is N(800, 14400) and the length of life in hours (say, Y) of a light bulb manufactured by company B is N(850, 2500). One bulb is randomly selected from each company and is burned until "death." 14 (a) Find the probability that the length of life of the bulb from company A exceeds the length of life of the bulb from company B by at least 15 hours. (b) Find the probability that at leanct

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(b) For the of n in part P(Y and the of the of a prepackaged (a) If X and Y have the same X>0.2). 5.5 5.5-7. Suppose that the distribution of the weight of a prepackaged "l-pound bag" of carrots is N(1.18, 0.07-) ou (3) -pound bag" of carrots is N(3.22, 0.09). Selecting bags at random, find the probability that the sum of three 1-pound bags exceeds the weight of one 3-pound bag. HINT: First determine the distribution of Y, the sum of the three, and then compute P(Y > W), where W is the weight of the 3-pound bag. 5.5-8. Let X denote the wing length in millimeters of a male gallinule and Y the wing length in millimeters of a female gallinule. Assume that X is N(184.09, 39.37) and Y is N(171.93, 50.88) and that X and Y are independent. If a male and a female gallinule are captured, what is the probability that X is greater than Y? 5.5-9. Suppose that the length of life in hours (say, X) of a light bulb manufactured by company A is N(800, 14400) and the length of life in hours (say, Y) of a light bulb manufactured by company B is N(850, 2500). One bulb is randomly selected from each company and is burned until "death." (a) Find the probability that the length of life of the bulb from company A exceeds the length of life of the bulb from 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 has a lifetime that has a mean of 800 hours, a standard devia- tion of 100 hours, and a normal distribution. A light bulb is replaced by another as soon as it burns out. Assuming
Transcribed Image Text:(b) For the of n in part P(Y and the of the of a prepackaged (a) If X and Y have the same X>0.2). 5.5 5.5-7. Suppose that the distribution of the weight of a prepackaged "l-pound bag" of carrots is N(1.18, 0.07-) ou (3) -pound bag" of carrots is N(3.22, 0.09). Selecting bags at random, find the probability that the sum of three 1-pound bags exceeds the weight of one 3-pound bag. HINT: First determine the distribution of Y, the sum of the three, and then compute P(Y > W), where W is the weight of the 3-pound bag. 5.5-8. Let X denote the wing length in millimeters of a male gallinule and Y the wing length in millimeters of a female gallinule. Assume that X is N(184.09, 39.37) and Y is N(171.93, 50.88) and that X and Y are independent. If a male and a female gallinule are captured, what is the probability that X is greater than Y? 5.5-9. Suppose that the length of life in hours (say, X) of a light bulb manufactured by company A is N(800, 14400) and the length of life in hours (say, Y) of a light bulb manufactured by company B is N(850, 2500). One bulb is randomly selected from each company and is burned until "death." (a) Find the probability that the length of life of the bulb from company A exceeds the length of life of the bulb from 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 has a lifetime that has a mean of 800 hours, a standard devia- tion of 100 hours, and a normal distribution. A light bulb is replaced by another as soon as it burns out. Assuming
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