(f_x)(x) = kx(1 - x), 0 < x < 1.
(i) Determine the value of k.
(ii) Find the probability P(0.4 <= x < 1)
(iii) Find the value of a such that the cumulative density function F(a) = 0.6© BrainMass Inc. brainmass.com June 3, 2020, 9:56 pm ad1c9bdddf
The solution provides step by step method for calculating the distribution function of a random variable. Formula for the calculation and Interpretations of the results are also included.