Let \( Y \) be a continuous random variable having the standard beta distribution with parameters \(\alpha = 3\) and \(\beta = 8\). That is, the pdf of \( Y \) is of the form\[f(y) = \begin{cases} \frac{\Gamma(11)}{\Gamma(3)\Gamma(8)} x^2 (1-x)^7 & \text{if } 0 \leq y \leq 1 \\0 & \text{otherwise.}\end{cases}\]Find the cdf \( F \) of \( Y \).

Let Y be a continuous random variable and given thatY~Standard Beta(α=3,β=8)The PDF of Y is given…

Answered: Let Y be a continuous random variable…

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 Y be a continuous random variable having the standard beta distribution with parameters a = 3 and 38. That is, the pdf of Y is of the form Find the cdf F of Y. f(y) r(11) (3x² (1-x)7 r(3)r(8) { if0 ≤ y ≤ 1 otherwise.