3.3-5. If X is normally distributed with a mean of 6 and a variance of 25, find (a) P(6 ≤ x ≤ 14). (c) P(-4< X ≤ 0). (e) P(|X-6]<5). (g) P(|X-615). (b) P(4 ≤ x ≤ 14). (d) P(X > 15). (f) P(|X-61 < 10). (h) P(|X-61 < 12.4).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Need help with this Intro to probability and statistics homework problem. Below the homework problem is the answers from the textbook. Make sure your handwriting is neat and readable.

 

3.3-5 (a) 0.4452; (b) 0.6006; (c) 0.0923; (d) 0.0359;
(e) 0.6826; (f) 0.9544; (g) 0.9974; (h) 0.9868.
Transcribed Image Text:3.3-5 (a) 0.4452; (b) 0.6006; (c) 0.0923; (d) 0.0359; (e) 0.6826; (f) 0.9544; (g) 0.9974; (h) 0.9868.
3.3-5. If X is normally distributed with a mean of 6 and a
variance of 25, find
(a) P(6 ≤ x ≤ 14).
(c) P(-4< X ≤ 0).
(e) P(|X-61 <5).
(g) P(|X-6 15).
(b) P(4 < X < 14).
(d) P(X > 15).
(f) P(|X-61 < 10).
(h) P(|X-6 < 12.4).
Transcribed Image Text:3.3-5. If X is normally distributed with a mean of 6 and a variance of 25, find (a) P(6 ≤ x ≤ 14). (c) P(-4< X ≤ 0). (e) P(|X-61 <5). (g) P(|X-6 15). (b) P(4 < X < 14). (d) P(X > 15). (f) P(|X-61 < 10). (h) P(|X-6 < 12.4).
Expert Solution
Step 1

The question is about normal distribution

Given :

Mean of X  ( μ ) = 6

Var. of X ( σ2 ) = 25

Std. deviation of X ( 

 

To find :

Prob. of given parts

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