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# Probability Question?

A probability distribution function of a random variable is given as:

fx(x)=cx^2 -3<=x<=3

fx(x)=0 otherwise

a) Find out value of c.

b) Plot

c) Find out the cumulative distribution function

d) Find out

e) Find out

Update:

Edit:

a) Find out value of c.

b) Plot fx(x)

c) Find out the cumulative distribution function

d) Find out P[|X|<1]

e) Find out P[X<1]

### 1 Answer

Relevance

- stanschimLv 72 months agoFavourite answer
a) The area under the probability distribution must total to 1.

Integrating the distribution gives (c/3)(x^3) from -3 to 3.

Evaluating the limits gives (c/3)(27 - (-27) = (c/3)(54) = c/18.

Therefore, c = 18.

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