5-25 Let x represent a binomial random variable with parameters n and p. Show that (a) E(x) =n(n − 1)p²; (c) E[x(x − 1)(x − 2)]-=n(n − 1)(n − 2)p³;np; (b) E[x(x − 1)](d) Compute E (x²) and E(x³).=

For the given Show that E(X)=np E(x(x-1)) =n(n-1)p^2 E(x(x-1)(x-2)) =n(n-1)(n-2)p^3

Answered: Let x represent a binomial random…

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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Let x represent a binomial random variable with parameters n and p. Show that (a) E(x) : = n(n − 1)p²; (c) E[x(x - 1)(x − 2)] mp; (b) E[x(x − 1)] - = - - 1)(n − 2)p³; -