Answered: and x be a normal random variable wit…

and x be a normal random variable wit andard deviation o= 8. Find the following probabilities and the value of a. a. P(Z < 0.58). b. P(Z > -1.24). C. P(-2.31 < z < -1.46). P(1.0676273) d

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Let z be the standard normal variable and x be a normal random variable with the mean μ = 15 and the
standard deviation o = 8. Find the following probabilities and the value of a.
a. P(Z < 0.58).
b.
P(Z > -1.24).
c.
P(-2.31 < z < -1.46).
d.
P(1.06 < z < 2.73).
P(z> a) = 0.74. Find a.
Find P(x < 21).
Find P(x > 13).
Find P(5 < x < 26.6).
Find P(20 < x < 27).
P(x < a) = 0.92. Find a.
e.
f.
g.
h.
. i.
j.

Expert Solution

Step 1

Given that.

X~N( μ , ?)

μ=15 , ?=8

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