(sample mean and chebyshev’s inequality)
let x1, x2, …xi, be independent identically distributed i.i.d continuous random variables with E[xi]=1 and var[xi]=1 for i=1,2,..10.
1)find the E[M10] and var [m10] of sample mean m10 =1/10 sum{i=0 to 10 [xi]
2)provide an upper bound on the probability that the random variable M10 exceeds 4 or is below -2
3)use the CLT approximation to obtain an “approximation” of the probability that the random variable M10 deviates from its mean by more than 3om10
