Hello Friends

I need help with a past exam paper question for statistics; it's from a first-year undergraduate paper. It goes like this:

The probability distribution of a random variable has the following density function:

(x) = cx^2(x-1) if 0=<x=<1

= o otherwise

and we are given a probability graph with a normal distribution with f(x) on the y-axis. x: 0=<x=<1 and f(x): 0=<x=<1 .

i) Show that c=30.

Can anyone please advise how I would go about solving this? I don't want the question solved for me, just a couple of hints.

Hope this is okay. Muchos gracios.

Best,

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