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A random variable X has following probab...

A random variable X has following probability distribution

Then `P(2leXlt5)` = .....

A

`3/5`

B

`7/25`

C

`23/25`

D

`24/25`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that, `sigma`pi=1
`rArrk+3k+5k+7k+8k+k=1`
`rArr25k=1`
`rArrk=1/25`
Now, P`(2leXlt5)`
`=P(X=2)+P(X=3)+P(X=4)`
`=3k+5k+7k=15k`
`=15xx1/25=3/5`
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