Z is a standard normal random variable Let X be a normal random variablewith = 60. If P(X ≤ 67.5) =0.6915, then what is o?1O 1.523O 10O 152030 Approximately what is P(1.1 < Z < *1.2)?0.02060.10.46020.53980.7492Let X be a normal random variablewith μ = 60 and o = 12.5.Approximately what is P(X ≤ 67.5)?0.60.72570.75800.78810.8

It is given that Mean, μ = 60P( X ≤ 67.5 ) = 0.6915Note: According to Bartleby expert guidelines,…

Answered: Let X be a normal random variable with…

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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I asked this question before, and got an answer, but I have a question about the response that was given. The original question was: For an initial investment of 100, an investment yields returns of X1 and X2, where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability that the rate of return of this investment is greater than 10%? In the answer that was given it says that the gain of the investment is X1+X2. My question is why can we just group those together as one amount? I was given a formula in my class that says the return on the investment would be the solution to the equation: -100+ X1/(1+r) + X2/(1+r)2=0. If this formula is used, a different solution would result for this problem.
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Let X be a normal random variable with μ = 60. If P(X ≤ 67.5)~ 0.6915, then what is o? O 1 O 1.5 02 O 3 O 10 O 15 20