6. Let X1, X2, ..., X101 be 101 independent U[0,1] random variables (meaning uniformly distributed on...

6. Let X1, X2, ..., X101 be 101 independent U[0,1] random variables (meaning uniformly distributed on the unit interval). Let M be the middle value among the 101 numbers, with 50 values less than M and 50 values greater than M.

(a). Find the approximate value of P( M < 0.45 ).

(b). Find the approximate value of P( | M- 0.5 | < 0.001 ), the probability that M is within 0.001 of 1/2.

Expert Solution

orchestra answered 1 year ago

Let X1,X2,… be a sequence of independent random variables, uniformly distributed on [0,1]. Define Nn to...

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