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A random variable has the following prob...

A random variable has the following probability dustribution.
`{:(x:,0,1,2,3,4,5,6,7),(p(x):,0,2p,2p,3p,p^2,2p^2,7p^2,2p):}`
The value of p, is

A

`1//10`

B

`-1`

C

`-1//10`

D

none of these

Text Solution

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The correct Answer is:
A
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  • The probability distribution of random variable X with two missing probabilities p_(1) and p_(2) is given below {:(X, P(X)),(1, k), (2, p_(1)),(3, 4k),(4, p_(2)),(5, 2k):} It is further given that P(X le 2) = 0.25 and P(X ge 4) = 0.35 . Consider the following statements 1. p_(1) = p_(2) 2. p_(1) + p_(2) = P(X = 3) which of the statements given above is/are correct ?

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