(a) Given that X ~ B(n, p) where n is a positive integer and 0 < p < 1. It is known that X has mean 12 andstandard deviation 2. Find the values of n and p.(b) Given that Y ~ N(0,0²) where o is a positive real number such that P(|Y| < 1) = 0.3. Find the value ofo, correct to three significant figures.

We have given that X ~ B( n, p ), where n is a positive integer and 0<p<1. The mean of X is…

Answered: a) Given that X ~ B(n,p) where n is a…

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a) Given that X ~ B(n,p) where n is a positive integer and 0

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 11A

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Question

(a) Given that X ~ B(n, p) where n is a positive integer and 0 < p < 1. It is known that X has mean 12 and
standard deviation 2. Find the values of n and p.
(b) Given that Y ~ N(0,0²) where o is a positive real number such that P(|Y| < 1) = 0.3. Find the value of
o, correct to three significant figures.

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