Given the discrete random variable X has the following probability distribution function (2рх ,х = 0,1,2) g(x) = px2 , x = 3,4 ) Where p is a constant. Show that p Hence, find 31' (а) P(X > 4) (b) P(X < 3) (c) P(1 < X < 4)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Given the discrete random variable X has the following probability distribution function
g(x) = {Px
(2рх ,х 3D 0,1,2)
рх2,х 3 3,4
I|
1
Where p is a constant. Show that p
- Hence, find
31
(a)
Р(X > 4)
(b)
P(X < 3)
(c)
P(1 < X < 4)
(d)
Р(\Х — 31 <2)
Transcribed Image Text:Given the discrete random variable X has the following probability distribution function g(x) = {Px (2рх ,х 3D 0,1,2) рх2,х 3 3,4 I| 1 Where p is a constant. Show that p - Hence, find 31 (a) Р(X > 4) (b) P(X < 3) (c) P(1 < X < 4) (d) Р(\Х — 31 <2)
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