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Suppose X_1, ..., X_n is a random sample from a normal distribution with parameter μ and σ^2 . If S^2=Σ(X_i - Xbar)^2 /n , where Xbar is the sample mean, determine the distribution of nS^2 /σ^2 .

QUESTION:  Suppose $X_{1},... ,X_{n}$ is a random sample from a normal distribution with parameter $…

For any random variable Z with MGF: M_Z (t)=(1/3 exp(t)+ 2/3)^5 show the distribution of Z and obtain E(Z) and Var(Z) !

QUESTION : For any random variable Z with MGF: $M_{Z}(t)=(\frac{1}{3}exp(t)+\frac{2}{3})^5$ show the di…

Suppose X1, X2, ..., Xn and Y1, Y2, ..., Ym are independent random samples with normal distribution with mean and variance (a1 and 9) and (a2 and 25), respectively. Using the x-bar and y-bar sample mean statistics, find the pivotal quantity for the difference in means a1-a2 !

QUESTION : Suppose X1, X2, ..., Xn and Y1, Y2, ..., Ym are independent random samples with normal dis…

Erlang Distribution

 Erlang Distribution The Erlang Distribution is a continuous distribution which is a special distrib…

If Xi~Exp(λ), i=1,2,...,n, determine the distribution of Zn=X1+...+Xn using a)MGF Technique b)Convolution Technique c)Observe your results in point a)* and b)*, and provide your comments

QUESTION: If $X_{i}\sim Exp(\lambda ),i=1,2,...,n$ determine the distribution of $Z_{n}=X_{1}+...+X_…

Analisis Regresi Linear Sederhana

Pengertian Analisis Regresi Linear Sederhana Regresi linear sederhana merupakan pemodelan yang dilak…

Suppose Xn P-> X and a is a constant. Then aXn P-> aX ?

QUESTION: Suppose $X_{n}\overset{P}{\rightarrow}X$ and a is a constant. Then $aX_{n}\overset{P}{\rig…