Density Function question

[Bella]

Can someone please help me solve this problem

The density function for a random variable x is given in terms of a constant C.

0 x < 0
ƒ(x) = C
( x + 2)4 x < 0

a. Calculate the value of C.
b. What is the corresponding distribution function?
c. Calculate P( 1 ≤ x ≤ 3 ).

[StuartS]

The density function for a random variable x is given in terms of a constant C.

0 x < 0
ƒ(x) = C
( x + 2)4 x < 0

a. Calculate the value of C.
b. What is the corresponding distribution function?
c. Calculate P( 1 ≤ x ≤ 3 ).

I think you have copied this question down incorrectly so at the moment it cannot be done. Check out the line ( x + 2)4 x < 0

However this is the method.

a) Use the fact that ∫f(x) dx = 1
b) F(x) = f '(x)
c) P( 1 ≤ x ≤ 3 ) = ∫f(x) dx from x=1 to x=3

[Bella]

Thanks for your help