**Question 7**X is a normally distributed variable with mean \( \mu = 30 \) and standard deviation \( \sigma = 6 \). Find the following: (Round to three decimal places)1. \( P(x < 40) \) 2. \( P(x > 21) \)3. \( P(30 < x < 35) \)---**Question 8**Entry to a certain university is determined by a national test. The scores on this test are normally distributed with a mean of 110. Alton wants to be admitted to this university and he knows that he must score better than [75th percentile mentioned but text incomplete].---**Instructions**Click Save and Submit to save and submit. Click Save All Answers to save all answers.

Here mean is 30 and standard deviation is 6.

Answered: X is a normally distributed variable…

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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X is a normally distributed variable with mean u = 30 and standard deviation o = 6. Find the following: (Round to three decimal places)