Question: Suppose that the discrete random variable Y has the following probabilty mass function. p (y) = 0.4, if y =0 cy, if y = 2,4,10

Suppose that the discrete random variable Y has the following probabilty mass function.
 

p (y) =   0.4, if y =0
               cy, if y = 2,4,10

               0, otherwise,

  where c is a constant 

Find the value of c that makes p(y) a valid probabilty mass function.

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