In n m independent bernoulli p trials let sn be the number


Blocks of Bernoulli trials.

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

a) What is the distribution of Sn? Why?

b) What is the distribution of Tm? Why?

c) What is the distribution of Sn + Tm? Why?

d) Are Sn and Tm independent? Why?

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Basic Statistics: In n m independent bernoulli p trials let sn be the number
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