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
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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
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Transcribed Image Text: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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Expert Solution

Step 1
Solution:
Let X be the bernoulli random variable having probability mass function is given by
that is P(1)= p and P(0)= 1-p
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