(a)
c is got by noting that the Total Probability = 1
We get:
i.e.,
(1)
By Power Series, we have:
(2)
Substituting (2), equation (1) becomes:
So,
So,
Answer is:
(b)
So, the probability function of Y is given by:
So,
Answer is:
(c)
P(Y>2) = 1 -[P(Y=0)+P(Y=1)+P(Y=2)] (3)
(4)
(5)
(6)
Substituting (4), (5) and (6), equation (3) becomes:
Thus, we get the answer as:
Show work, thanks 2.5.1. The probability function of a random variable Y is given by p...
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