[Step-by-Step] Find the variance and the standard deviation of a random variable with the following distribution: X -1 2 3 4 p .4 .2 .1
Question: Find the variance and the standard deviation of a random variable with the
following distribution: (10 points)
\[X\] -1 2 3 4 \[p\] .4 .2 .1 .3
Deliverable: Word Document 
![[Steps Shown] Let X_1,...,X_10 be identically distributed](/images/solutions/MC-solution-library-33857.jpg "[Steps Shown] Let X_1,...,X_10 be identically distributed independent")
[Steps Shown] Let X_1,...,X_10 be identically distributed independent
(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),
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