Statistics- let x1, x2, …xi, be independent identically distributed

QUESTION

(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 -23)use the CLT approximation to obtain an “approximation” of the probability that the random variable M10 deviates from its mean by more than 3om10

 

ANSWER:

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