Question: Explain why for a fixed n, the events B k,n in Section 1.2.1 are disjoint, and why the total sum of all probabilities P(B k,n

Explain why for a fixed n, the events B_k,n in Section 1.2.1 are disjoint, and why the total sum of all probabilities P(B_k,n) must be one. Give a heuristic explanation and show it rigorously using the binomial formula (1.3.4.7).

P(no successes in n trials) = q". (1.2.3)

P([0])= pkqn-k (1.2.1)

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