Let S denote the sum of 50 independent random variables each

Let S denote the sum of 50 independent random variables, each having a uniform distribution on [0, 1]. Calculate P [24 S 27] 0.06 0.08 .015 0.28 0.52

Solution

Solution: Here

P(24\\leq X \\leq27) = \\int_{24}^{27}(1/50)dx = (27-24)/50= 3/50 = 0.06.

So answer is A.