|A9 a) The continuous random variable Xhas probability density function f(x) = ®(1– x)®-1 , 00 ) Find the cumulative distribution function, F(x), of X i) Find P(0.25
|A9 a) The continuous random variable Xhas probability density function f(x) = ®(1– x)®-1 , 00 ) Find the cumulative distribution function, F(x), of X i) Find P(0.25
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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Transcribed Image Text:|A 9
a) The continuous random variable Xhas probability density function
f (x) = 0(1– x)"-1 , 0<x<1,
0 > 0
i) Find the cumulative distribution function, F(x), of X
ii) Find P(0.25 <X < 0.75).
i) Use F(x) to obtain the median of X
b) The continuous random variable Y has probability density funetion (pdf)
fo) = 9ye-y, y 20
R.D.R EGALA
STAT 203
March 4, 2021
i) Obtain E(Y)
i) What is P(Y < 3)?
|A 10
Suppose X takes values in (2, 3,5, 7} with P(X = 2) = 0.1, P(X = 3) = 0.3 , P(X = 5) = 0.4
and P(X = 7)= 0.2. Find øx
|A 1
Let X be a binomial random variable with parameter n and p. Show that
1-(1– P)"+1
(n + 1)p
|A 12
Prove that
x!
n!
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