Q1. The cumulative distribution function of the random variable X isF(x) =0,(x+1)²,1- (1-2)²,1,for x < -1for −1 < x≤0for 0 1(a) Compute-P(0.5 < X <1)¶(b) What is the probability density function of X.?

Let X be the random variable having cumulative distribution function

Answered: Q1. The cumulative distribution…

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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3) For known k ≥ 2 show that the negative binomial distribution with probability mass function, f(y, k, μ) y = 0, 1, 2, .. = - 1 k k k (³ + k − ¹) (¹ − µ 4 k)" (1² k) " 1 Y + 1 belongs to the exponential family of distributions. Find the natural parameter for this distribution.
My Find the standard deviation of the discret probability dist x P(x) xp(x)) (x-M)² | (x-mipul 2 σ = √(x-M)² pxx) ટે О 0.21 10*0.21=0 /10-112 =. M= Exp(x) 1 0.30 1*0.3 = 0.3 2 0=49 EXP(X) =M

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Q1. The cumulative distribution function of the random variable X is F(x) = 0, (+1)², 1- (1-2)², 1, for x < -1 for -1 < x≤0 for 0 < x <1 for x > 1 (a) Compute P(0.5 ≤ x ≤1)¶ (b) What is the probability-density function of X.?