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Verify Whether the Following Function Can Be Regarded as Probability Mass Function (P.M.F.) for the Given Values of X : X -1 0 1 P(X = X) -0.2 1 0.2 - Mathematics and Statistics

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Question

Verify whether the following function can be regarded as probability mass function (p.m.f.) for the given values of X : 

X -1 0 1
P(X = x) -0.2 1 0.2
Sum

Solution

Here P(X = -1) = - 0.2 

i.e. P(X = x) < 0, for x = -1 

∴ The function is not a p.m.f. 

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2013-2014 (March)

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