The continuous random variable X has probability density function given by fx(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 by x<-1 2+3x-x3 Fx(x) = -1 sx<1 4 1 x>1 Also find P (-< x<). iii. Obtain the standard deviation of X, to 3 significant figures.
The continuous random variable X has probability density function given by fx(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 by x<-1 2+3x-x3 Fx(x) = -1 sx<1 4 1 x>1 Also find P (-< x<). 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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