Can someone explain it to me why I’m getting wrong answer??!!! Let X = 1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1 - p.%3D(a) Compute E(X?).E(X?) = P(b) Show that V(X) = p(1 - p).V(X) = Ex)- [E(X)]?= p(1 - p)(c) Compute E(X84).E(X4) = PNeed Help?Read It3:31 PMENG令中2/27/2022DELLEscE1F2F3F4F5F6F7F8F9F10F11F12PrtScrInsertDeleteof#%24&123456Backspace89%3DTabERYPCaps LockADGKLEnterShiftVBNM?ShiftCtrlFnAltt PgUpAltCtrl目+ HomePgDnEndInspiron 14 5000 2-in-114EMORTouen Drnght eneotie huwmAesve PenMalliJurmemenOHE CRETAN

Let X =1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1- p. (a) Compute E(X). EX?) = P (b) Show that V(X) = p(1 - p). V(X) = )- (E(X)? = P -p? = p(1 - p) (c) Compute E(X4). E(X®4) =

Let X =1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1- p. (a) Compute E(X). EX?) = P (b) Show that V(X) = p(1 - p). V(X) = )- (E(X)? = P -p? = p(1 - p) (c) Compute E(X4). E(X®4) =

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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Question

Can someone explain it to me why I’m getting wrong answer??!!!

Let X = 1 if a randomly selected vehicle passes an emissions test and X = 0 otherwise. Then X is a Bernoulli rv with pmf p(1) = p and p(0) = 1 - p.
%3D
(a) Compute E(X?).
E(X?) = P
(b) Show that V(X) = p(1 - p).
V(X) = Ex
)- [E(X)]?
= p(1 - p)
(c) Compute E(X84).
E(X4) = P
Need Help?
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otie huwm
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Expert Solution

Step 1

Solution:

Let X be the bernoulli random variable having probability mass function is given by

$P (X = x) = p^{x} {(1 - p)}^{1 - x} x = 0, 1$

that is P(1)= p and P(0)= 1-p

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