d, e, f 4.94 Suppose x is a normally distributed random variable withμ = 50 and σ = 3. Find a value of the random variable, call it xo,such thata. P(x ≤ xo) = .8413b. P(x > xo) = .025c. P(x > xo) = .95d. P(41 ≤ x ≤ xo) = .8630<e. 10% of the values of x are less than o.f. 1% of the values of x are greater than 0.

Answered: d. P(41 ≤ x ≤ xo) = .8630 e. 10% of the…

Math

Statistics

d. P(41 ≤ x ≤ xo) = .8630 e. 10% of the values of x are less than xo. f. 1% of the values of x are greater than .

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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Question

d, e, f

4.94 Suppose x is a normally distributed random variable with
μ = 50 and σ = 3. Find a value of the random variable, call it xo,
such that
a. P(x ≤ xo) = .8413
b. P(x > xo) = .025
c. P(x > xo) = .95
d. P(41 ≤ x ≤ xo) = .8630
<
e. 10% of the values of x are less than o.
f. 1% of the values of x are greater than 0.

Expert Solution

Step 1

We know, X be normally distributed random variable i.e., X~N( $μ, σ$ )

the mean( $μ$ )= 50 and standard deviation( $σ$ )= 3

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