Letrbe a binomial random variable representing the number of successes out ofntrials.

(a) Explain why the sample space forrconsists 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 ofntrials, there can be 0 throughn- 1successes. The sum of of the probabilities for all elements of the sample space is usually 1.

Out ofntrials, there can be 0 throughn- 1successes. The sum of of the probabilities for all elements of the sample space must be 1.

Out ofntrials, there can be 0 throughnsuccesses. The sum of of the probabilities for all elements of the sample space must be 1.

Out ofntrials, there can be 0 throughnsuccesses. The sum of of the probabilities for all elements of the sample space is usually 1.