**Problem Statement on Normal Distribution**Given a normal distribution with a mean (μ) of 40 and a standard deviation (σ) of 8, solve the following problems:a) Determine the area under the normal curve to the right of \( x = 38 \).b) Find the area under the normal curve to the left of \( x = 34 \).c) Calculate the area under the normal curve between \( x = 41 \) and \( x = 43 \).d) Determine the value of \( x \) such that 85% of the normal curve area is to the left of this value.

Given,mean(μ)=40standard deviation(σ)=8

Answered: 3. Given a normal distribution with u =…

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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3. Given a normal distribution with u = 40 and o = 8, find..... a) the normal curve area to the right of x 38; b) the normal curve area to the left of x = 34; the normal curve area between x = 41 and x = 43; d) the value of x that has 85% of the normal curve area to the left;