|A 3The continuous random variable X has probability density function given byfx(x) = c(1– x²),-ISxs1,where c is a suitable constant.i. Show that c = 4 and plot the graph of fx(x) against x.ii.Show that the cumulative distribution function of X is given byx<-12+ 3x – x3Fx (x)-1 1Also find P (-

|A 3 The continuous random variable X has probability density function given by fx(x) = c(1 - x*), -Isxs1, where c is a suitable constant. i. Show that e = % and plot the graph of fx(x) against x. ii. Show that the cumulative distribution function of X is given by x <-1 2+3x-x3 Fx(x) = -1 sxs1 4 1 x > 1 Also find P (-sxs). iii. Obtain the standard deviation of X, to 3 significant figures.

|A 3 The continuous random variable X has probability density function given by fx(x) = c(1 - x*), -Isxs1, where c is a suitable constant. i. Show that e = % and plot the graph of fx(x) against x. ii. Show that the cumulative distribution function of X is given by x <-1 2+3x-x3 Fx(x) = -1 sxs1 4 1 x > 1 Also find P (-sxs). iii. Obtain the standard deviation of X, to 3 significant figures.

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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