Let xyz be the random quantities of threestandard normal distributions, corr(X,Y) = 0.3,corr(X,Z) = 0.4, corr(Y,Z)=0. They form aternary normal distribution, find Themaximum value of the variance of this normaldistribution

Given information: It is given that X, Y, Z are random quantities of three standard normal…

Answered: Let xyz be the random quantities of…

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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The length of a movie file that is available for streaming is modeled using the normal distribution shown below. The mean of the distribution is 170.5 min and the standard deviation is 19.9 min, In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) 100 120 140 160 180 200 220 240 ( min)
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This is a Statistics problem. Are the random variables Z1+Z2 and Z1-Z2 the same? Do they have the same distribution?
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Julia is currently age 30. She purchases a whole life insurance policy that pays a benefit of $1 at the moment of death. Let i = 0.06 In addition, suppose that Julia's mortality or age- at-failure (X) follows the Uniform Distribution on [0, 100]. Let Z be the present value random variable for the unit of payment made at the time point of failure. Calculate the expected value and variance of the present value of her death benefit.

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Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z) = 0.4, corr(Y,Z)=0. They form a ternary normal distribution, find The maximum value of the variance of this normal distribution %3D