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Verify whether the following functions ...

Verify whether the following functions can be regarded as the p.m.f for the given value of X :
(1) `P(X =x) ={:{(,(x^(2))/(5),x=0","1","2),(,0,"otherwise"):}`
(2) `P(X = x) {{:(,(x-2)/(5),x=1","2","3","4),(,0,"otherwise"):}`

Text Solution

Verified by Experts

The correct Answer is:
(1) Yes (2) No, because `P(X = 1) = - (1)/(5)lt 0`.
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Knowledge Check

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    `underset(x_(i)=S)sumP(X=x)ne1`
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    `underset(x_(i)=S)sumP(X=x)=2`
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    f is a p.m.f.
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