A random sample of size n1 = 15 is selected from a normal population with a mean of 75 and a standard deviation of 9. A secondrandom sample of size n2 = 9 is taken from another normal population with mean 69 and standard deviation 15. Let X1 and X2 be the%3Dtwo sample means. Find:(a) The probability that X - X2 exceeds 3.(b) The probability that 4.9 < X – X2 < 5.9.Round your answers to two decimal places (e.g. 98.76).(a) i(b)

Let , X1→N(μ1=75 , σ1=9) , n1=15 and X2→N(μ2=69 , σ2=15) , n2=9 and By using central limit theorem…

Answered: a) The probability that X1 – X2 exceeds…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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a) The probability that X1 – X2 exceeds 3. b) The probability that 4.9 < X1 - X2 < 5.9.