2. The continuous random variable X has density2f(x) =otherwise(a) What is a?(b) What is the cumulative distribution function of X? Sketch your answer.mark](c) What is the variance of X?[2

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Answered: 2. The continuous random variable X has…

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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This is a Statistics problem. Are the random variables Z1+Z2 and Z1-Z2 the same? Do they have the same distribution?
What is the variance and standard deviation for the number of times the SAT is taken? x Frequency (f) fx f*x2= (f*x) x (x) (4) = (3)x(1) 5152727-(2547473)(2547473)/1518859=880035.3688/1518859=0.5794 (1) (2) (3)=(1)x(2) (4)=(3x1) Population Variance 1 721,769 721,769 721,769 2 601,325 1,202,650 2,405,300 3 166,736 500,208 1,500,624 4 22,299 89,196 356,784 5 6,730 33,650 168,250 Total 1,518,859 2,547,473 5,152,727 880035.3688 0.5794 n=1,518,859 ∑fx = 2,547,473 The population variance is 0.5794 The Standard Deviation? 0.76 Can you show me the steps to reach the standard deviation of .76 ?
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2. The continuous random variable X has density ta f(x) = otherwise (a) What is a? (b) What is the cumulative distribution function of X? Sketch your answer. mark] (c) What is the variance of X?