b) A random sample of size n, = 25 is selected from a normal population with a mean of 95 and a standard deviation of7. A second random sample of size n, = 16 is taken from another normal population vith mean 80 and standard deviation 13. Let X, and X, be thwo sample means. Find the probability that X, - X, exceeds 12. c) The manufacturing of semiconductor chips produces 2% defective chips. Assume the chip are independent and that a lot contains 1000 chips. Approximate the probability that more 25 chips are defective. d) Suppose the random variables X and Y have the following joint probability mass function xy f(x.y) 11 0.05 11 0.10 12 0.15 12 0.20 210.20 210.15 22 0.10 22 0.05 Find Conditional probability distribution of Y given that X= 1.

b) A random sample of size n, = 25 is selected from a normal population with a mean of 95 and a standard deviation of7. A second random sample of size n, = 16 is taken from another normal population vith mean 80 and standard deviation 13. Let X, and X, be thwo sample means. Find the probability that X, - X, exceeds 12. c) The manufacturing of semiconductor chips produces 2% defective chips. Assume the chip are independent and that a lot contains 1000 chips. Approximate the probability that more 25 chips are defective. d) Suppose the random variables X and Y have the following joint probability mass function xy f(x.y) 11 0.05 11 0.10 12 0.15 12 0.20 210.20 210.15 22 0.10 22 0.05 Find Conditional probability distribution of Y given that X= 1.

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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