3. a) The weight of white lab mice has a normal distribution. What is the mean and variance ofwhite lab mice weight if it is known that 99.2% of the mice have a weight that is less than 171.15grams and 12.1% have a weight that is above 152.55 grams?b) The weight of black lab mice has a normal distribution with mean of 140 grams and standarddeviation of 16 grams. What is the probability that among 4 randomly sampled black mice therewill be 3 that weigh more than 148 grams and one that weighs less than 148 grams?c) The weight of gray lab mice has a normal distribution with mean of 120 grams and variance of100 grams. The lab contains 40 black mice and 20 gray mice. A mouse is chosen randomly.Given that its weight is less than 130 grams what is the probability that the mouse is black?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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