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A function is defined as f(x)={{:(0","" ...

A function is defined as `f(x)={{:(0","" for "xgt2),((2x+3)/(18)" for "2lexle4),(0" for "xgt4):}`
Then `P(2ltXlt3)` is

A

`5/9`

B

`4/9`

C

`7/9`

D

`2/9`

Text Solution

Verified by Experts

The correct Answer is:
B
`P(2ltXlt3)=overset3underset2int((2x+3)/(18))dx=1/(18)[x^2+3x]_2^3`
`=1/18(9+9-4-6)=4/9`
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