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If the pdf of a curve X is f(x)={{:(3(...

If the pdf of a curve X is
`f(x)={{:(3(1-2x^2)","0ltxlt1),(0","xle0" or "xge1):}`
Then, the cdf of X is equal to

A

`2x-3x^2`

B

`3x-4x^3`

C

`3x-2x^3`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
`F(x)=oversetxunderset0intf(t)dt=underset0overset(x)int3(1-2t^2)dt=[3t-2t^3]_0^3=3x-2x^3`
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