suppose x is a uniform random variable with c10 and d 70 fin

suppose x is a uniform random variable with c=10 and d= 70. find the probability that a randomly selected observation exceeds 52.

Solution

We know that cdf of uniform distribution p(X<x) = (x-c)/(d-c)

p(X<52)= (52-10)/(70-10)

=0.70

Now required probability p(x>52) =1 - p(x<52)

=1-.70

=0.30