(Steps Shown) Let X_1,...,X_10 be identically distributed independent random variables such that E(X_i)=1 and Var(X_i)=4. What is the standard deviation
Question: Let \[{{X}_{1}},...,{{X}_{10}}\] be identically distributed independent random variables such that
\[E({{X}_{i}})=1\] and \[Var({{X}_{i}})=4\] . What is the standard deviation of a random variable \[X\] , where \[X=\] \[\frac{{{X}_{1}}+...+{{X}_{10}}}{10}\] ? (8 points)
Deliverable: Word Document 
(All Steps) Let the distribution function of X be given by F(x)=0,
![[Solution Library] Let a random variable X](/images/solutions/MC-solution-library-33859.jpg "[Solution Library] Let a random variable X be given by its distribution.")
[Solution Library] Let a random variable X be given by its distribution.
![[See Steps] For the function f(x)=-3x^2+7x-2 What](/images/solutions/MC-solution-library-33860.jpg "[See Steps] For the function f(x)=-3x^2+7x-2 What are the values")
[See Steps] For the function f(x)=-3x^2+7x-2 What are the values
(See) The function, h(t)=-16t^2+96t+5 stands for the height (h),
![[Steps Shown] For the data in the](/images/solutions/MC-solution-library-33862.jpg "[Steps Shown] For the data in the table below, X f(X) Function Notation")
[Steps Shown] For the data in the table below, X f(X) Function Notation
Non-Parametric Statistics, or What to Do When the Assumptions for a Parametric Test Fail - MathCracker.com