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A random variable X takes values -1,0,1,...

A random variable X takes values `-1,0,1,2` with probabilities `(1+3p)/4,(1-p)/4,(1+2p)/4,(-14p)/4` respectively, where `p` varies over `R.` Then the minimum and maximum values of the mean of `X` are respectively

A

`-7/4 and 1/2`

B

`-1/16 and 5/16`

C

`-7/4 and 5/16`

D

`-1/16 and 5/4`

Text Solution

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The correct Answer is:
D
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