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8B and 7A Kindly solve Part B for Q8 and Part A for Q7 Needed to be solved required parts only in 30 minutes and get the thumbs up please show neat and clean work for it

8B and 7A Kindly solve Part B for Q8 and Part A for Q7 Needed to be solved required parts only in 30 minutes and get the thumbs up please show neat and clean work for it

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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8B and 7A Kindly solve Part B for Q8 and Part A for Q7 Needed to be solved required parts only in 30 minutes and get the thumbs up please show neat and clean work for it
Suppose X and Y are random variables with the given joint density function. (0.1e-(0.5x + 0.2y) if x z 0, y z 0 otherwise (a) Is fa joint density function? Yes No (b) f(x,y) = (c) Find P(Y > 8). (Round your answer to four decimal places.) Find P(X ≤ 5, Y < 7). (Round your answer to four decimal places.) Find the expected value of X. Find the expected value of Y. 구
Transcribed Image Text:Suppose X and Y are random variables with the given joint density function. (0.1e-(0.5x + 0.2y) if x z 0, y z 0 otherwise (a) Is fa joint density function? Yes No (b) f(x,y) = (c) Find P(Y > 8). (Round your answer to four decimal places.) Find P(X ≤ 5, Y < 7). (Round your answer to four decimal places.) Find the expected value of X. Find the expected value of Y. 구
(a) A lamp has two bulbs, each of a type with average lifetime 1,400 hours. Assuming that we can model the probability of failure of a bulb by an exponential density function with mean = 1,400, find the probability that both of the lamp's bulbs fail within 1,700 hours. (Round your answer to four decimal places.) (b) Another lamp has just one bulb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of the same type, find the probability that the two bulbs fail within a total of 1,700 hours. (Round your answer to four decimal places.) 8 Need Help? Read It
Transcribed Image Text:(a) A lamp has two bulbs, each of a type with average lifetime 1,400 hours. Assuming that we can model the probability of failure of a bulb by an exponential density function with mean = 1,400, find the probability that both of the lamp's bulbs fail within 1,700 hours. (Round your answer to four decimal places.) (b) Another lamp has just one bulb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of the same type, find the probability that the two bulbs fail within a total of 1,700 hours. (Round your answer to four decimal places.) 8 Need Help? Read It
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