Let X~ N(4, 5). Find:a) P(X ≤ 8)b) P(−1 < X < 10)c) x such that P(X > x) = .01Let Yt15 and let X = 2Y + 6. Find x such that:a) P(X > x) = .001b) P(X > x) = .01c) Find E[X], Var(X), and SD(X).

Answered: Let X ~ N(4, 5). Find: a) P(X ≤ 8) b)…

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Let X ~ N(4, 5). Find: a) P(X ≤ 8) b) P(−1 < X < 10) c) x such that P(X> x) = .01

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 X~ N(4, 5). Find:
a) P(X ≤ 8)
b) P(−1 < X < 10)
c) x such that P(X > x) = .01
Let Yt15 and let X = 2Y + 6. Find x such that:
a) P(X > x) = .001
b) P(X > x) = .01
c) Find E[X], Var(X), and SD(X).

Expert Solution

Step 1

$As per our guidelines we are suppose to answer only question kindly post the remaining question in next post 1) Given X ~ N (4, 5) Mean (μ) = 4 standard deviation (σ) = 5$

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