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d) P(-4 35) f) P(|X-6 < 12.4)

d) P(-4 35) f) P(|X-6 < 12.4)

MATLAB: An Introduction with Applications
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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part d,e,f

5. If X is normally distributed with a mean of 6 and a variance of 25, find a) P(1.2 ≤X < 12.4) b) P(X > -2) c) P(6 ≤X ≤ 14) d) P(-4 < X < 0) e) P(X > 35) f) P(|X-6 < 12.4) g) P(|X| < 7) h) Find c such that P(X ≥ c) = 0.1. And what is the percentile name of c? Find c such that P(|X - 6| < c) = 0.95 i) j) Find E(e0.3x).
Transcribed Image Text:5. If X is normally distributed with a mean of 6 and a variance of 25, find a) P(1.2 ≤X < 12.4) b) P(X > -2) c) P(6 ≤X ≤ 14) d) P(-4 < X < 0) e) P(X > 35) f) P(|X-6 < 12.4) g) P(|X| < 7) h) Find c such that P(X ≥ c) = 0.1. And what is the percentile name of c? Find c such that P(|X - 6| < c) = 0.95 i) j) Find E(e0.3x).
Expert Solution
Step 1: Determine the given data in the question

Given that,

X has Normal distribution having parameters:

Population mean left parenthesis mu right parenthesis equals 6

Population variance left parenthesis sigma squared right parenthesis equals 25

Population std. dev left parenthesis sigma right parenthesis equals square root of 25 equals 5



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