### Normal Distribution ProblemGiven a normal distribution with a mean (μ) of 104 and a standard deviation (σ) of 20, and given you select a sample of size n = 16, complete parts (a) through (d).**a. What is the probability that X is less than 94?**\[ P(X < 94) = \_\_\_ \](Type an integer or decimal rounded to four decimal places as needed.)**Explanation:**To find the probability that \( X \) is less than 94, you need to calculate the z-score using the formula:\[ z = \frac{X - \mu}{\sigma/\sqrt{n}} \]Where:- \( X \) is the value for which you're finding the probability.- \( \mu \) is the mean.- \( \sigma \) is the standard deviation.- \( n \) is the sample size.Once you have the z-score, use the standard normal distribution table or a calculator to find the corresponding probability.

Refer Standard normal table/Z-table OR use excel formula "=NORM.S.DIST(-2, TRUE)" to find the…

Given a normal distribution with u= 104 and o = 20, and given you select a sample of n= 16, complete parts (a) through (d). a. What is the probability that X is less than 942 PX<94) - (Type an integer or decimal rounded to four decimal places as needed)

Given a normal distribution with u= 104 and o = 20, and given you select a sample of n= 16, complete parts (a) through (d). a. What is the probability that X is less than 942 PX<94) - (Type an integer or decimal rounded to four decimal places as needed)

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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