### Normal Distribution in Test Scores**Problem Statement:**Suppose test scores are measured by the Gaussian Normal Distribution $ N(X, 75, 10) $. Calculate the following:#### Tasks:**a)** $Pr(80 < X < 90)$**b)** $Pr(50 < X < 70)$**c)** The 95th percentile---In this problem, the Gaussian Normal Distribution has a mean ($\mu$) of 75 and a standard deviation ($\sigma$) of 10. The tasks involve calculating probabilities and the percentile for given test scores.To solve these problems, we'll need to convert raw scores (X) to Z-scores and then use Z-tables or statistical software to find the required probabilities and percentiles.

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Answered: 3) Suppose test scores are measured by…

3) Suppose test scores are measured by the Gaussian Normal Distribution N(X,75,10) calculate the following. a) Pr(80 < X < 90) b) Pr(50 < X< 70) c) The 95 th percentile

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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