4. The probability density function of a continuous random variable X is given by(a x?(1 – x), for 0 sxs 1,f(x) =lo, for x < 0 and x > 1.Find,(a) the value of the constant 2,(b) the mean and standard deviation of X.(c) the mode of the distribution.Given that the median of X is m, show that 6 m 8 m+1-0.

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The probability density function of a continuous random variable X is given by S) = 2 x(1 - x), for 0 sxS 1 lo, for x <0 and x > 1. f(x) = Find, (a) the value of the constant 2, (b) the mean and standard deviation of X. (c) the mode of the distribution. Given that the median of X is m, show that 6 m 8m+1-0.

The probability density function of a continuous random variable X is given by S) = 2 x(1 - x), for 0 sxS 1 lo, for x <0 and x > 1. f(x) = Find, (a) the value of the constant 2, (b) the mean and standard deviation of X. (c) the mode of the distribution. Given that the median of X is m, show that 6 m 8m+1-0.

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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