For the following random samples from a population with mean X and standard deviation X , write the approxi- mate distribution of Sum n Xi, and X bar...

For the following random samples from a population with mean μX and standard deviation σX , write the approxi- mate distribution of Sum n Xi, and X bar = 1/n sum Xi. You may assume all the x of i is independent

1. (a) Xi,...,Xn distributed Gamma(α = 4,β = 2).
2. (b) Xi,...,Xn distributed χ2,r = 4.
3. (c) Xi,...,Xn distributedHyperGeometric(r=4,m= 5,n = 11)
4. (d) Xi, . . . , Xn distributed Negative Exponential, λ = 4