(Answered) Blocks of bernoulli trialsin n m independent bernoulli p

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Blocks of Bernoulli trials.

In n +m independent Bernoulli (p) trials, let Sn be the number of successes in the first n trials, T_m the number of successes in the last m trials.

a) What is the distribution of S_n? Why?

b) What is the distribution of T_m? Why?

c) What is the distribution of S_n + T_m? Why?

d) Are S_n and T_m independent? Why?

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