(2) Let X denote a random variable model with density function given by
Compute the
(i) expected value
(ii) standard deviation
Let the mean of X be μ\muμ
So, for the desecrate random variable (mean) =μ=E(x)=\mu = E(x)=μ=E(x)
Hence, E(x)=ΣxP(x)E(x)=\Sigma xP(x)E(x)=ΣxP(x)
Variance of X,
Var(X)=σ2=ΣX2P(X)−μ2\sigma^2=\Sigma X^2P(X) -\mu^2σ2=ΣX2P(X)−μ2
Standard deviation (σ)=Var(X)(\sigma)= \sqrt{Var(X)}(σ)=Var(X)
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