Question

a) Consider the function f(x) = x2 defined over the interval [0,a]. What is the value of “a” for this to be a valid probability distribution function? Express your answer to four decimal places. b) develop the cumulative distribution function, F(x), and use it determine the probability that the random variable X is less than one.

Answer 1

i'm assuming f(x) is = x² the following 2 images have the solution: with all the steps..so check them out!!

image 1:

image 2:

cheers :)

Answer 2

i'm assuming f(x) is = x² the following 2 images have the solution: with all the steps..so check them out!!

image 1:

image 2:

cheers :)