Question: Suppose that the random variables X,,..., X and Y..... Y, are random sample from independent normal distributions N(3,8) and N(3,15), respectively. Calculate a) b)

$Suppose that the random variables ( X_{1}, ldots, X_{8} ) and ( Y_{1}, ldots, Y_{5} ) are random sample from independen$

$a) ( quad P(bar{X}>bar{Y}+1) ) [ 8 marks ( ] ) b) a constant ( c ) such that ( Pleft(frac{bar{X}-3}{S}<cright)=$

Suppose that the random variables X,,..., X and Y..... Y, are random sample from independent normal distributions N(3,8) and N(3,15), respectively. Calculate a) b) c) P(X>+1), a constant c such that P standard deviation of X, X-3 x = < c = ( = 0.95 where S is a sample a constant c such that P(S

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