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A sample space consists of 3 sample poin...

A sample space consists of 3 sample points with associated probabilities given as `2p ,p^2,4p-1.` Then the value of `p` is p= a.`sqrt(11)-3` b. `sqrt(10)-3` c. `1/4 < p <1/2` d.none

A

`p = sqrt(11) - 3`

B

`sqrt(10) - 3`

C

`(1)/(4)lt p lt (1)/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`P^(2) + 2p + 4p - 1 = 1` (Exhaustive)
`P^(2) + 6p - 2 = 0`
or `p = - 3 pm sqrt(11)`
`= sqrt(11) - 3`
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