Twenty points are chosen randomly and independently on the interval (0,1). a. Find the probability that the
point nearest 1 exceeds 0.95 b. Find the number 0 such that the probability is 0.75 that the point nearest zero
will exceed 0. c. Find the mean of the minimum value.

As mentioned below.

P.S -

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Please allow me some time to work on part c of the given question.

Step-by-step explanation

# ten points are chosen randomly & independently on the interval (oil) XN U ( 0 ,1) f(x ) = 1 @ P
( x)o.go ) - I dx 1-0.90 090 = 0.10 b P ( x > c ) - 1 dx = (1 - c ) C P ( x > c ) = 0.50 7 P ( x > c )
= ( 1 - c ) = o.50 # please like it.