Assume the random variable $ x $ is normally distributed with mean $ \mu = 85 $ and standard deviation $ \sigma = 5 $. Find the indicated probability.\[ P(70 < x < 82) \]\[ P(70 < x < 82) = \text{\_\_\_\_\_} \](Round to four decimal places as needed.)

Given: μ=85σ=5 The z-score is given by, z=X-μσTo find P(70<X<82): P(70<X<82)=P70-855<Z<82-855=P-3<Z<-0.6=P(Z<-0.6)-P(Z<-3)Using Excel formula="NORM.S.DIST(-0.6,TRUE)" =0.2743 Using Excel formula="NORM.S.DIST(-3,TRUE)"=0.0014=0.2743-0.0014P(70<X<82)=0.2729

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Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 5. Find the indicated probability. P(70

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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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Assume the random variable $ x $ is normally distributed with mean $ \mu = 85 $ and standard deviation $ \sigma = 5 $. Find the indicated probability.

\[ P(70 < x < 82) \]

\[ P(70 < x < 82) = \text{\_\_\_\_\_} \]

(Round to four decimal places as needed.)

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