Question

Let r be a binomial random

variable representing the number of successes out of n trials.

(a) Explain why the sample space for r consists of the set {0, 1, 2, …, n} and why the sum of the probabilities of all the entries in the entire sample space must be 1.

Out of n trials, there can be 0 through n – 1 successes. The sum of of the probabilities for all elements of the sample space is usually 1.

Out of n trials, there can be 0 through n – 1 successes. The sum of of the probabilities for all elements of the sample space must be 1.

Out of n trials, there can be 0 through n successes. The sum of of the probabilities for all elements of the sample space must be 1.

Out of n trials, there can be 0 through n successes. The sum of of the probabilities for all elements of the sample space is usually 1.

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