Question

A random variable may assume any value between 10 and 50 with equal likelihoods. (Uniform distribution) Determine the following values for this probability distribution: a) b) c) f(x) = d) P(x < 25) e) P(x > 15) f) P( 12 < x < 30)

Answer 1

c cannot be determined, as there are an infinite number of values between 10 and 50, and to exactly equal just one of them is infinitesimally small. Now if the random variable is allowed only on integer values, that is another problem

d. P(x<25)= (25-10)/(50-10)