Question: 3. (15 marks) Write down the probability mass function of the discrete distribution having the following moment generating function: Ma) =1r4 + (1/ 2):;'2' +

3. (15 marks) Write down the probability mass function of the discrete distribution having the following moment generating function: Ma) =1r4 + (1/ 2):;'2' + (1/4)e5' . Please also nd the mean and 1variance of the distribution. 4. (12 marks) Let X be a Binomial random variable with parameters 31 and p. Show that, E[;]=1'(1'P3\"\". X+l (n+1)p

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