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AssignmentMultiple Select

Geometric Random Variables

Question 1 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Check all that apply. In a geometric setting,we count the number of successes among a fixed number of trials.we count the number of trials to obtain the first success.the trials must be binary and independent.the probability of success must be the same for each trial.we have a fixed number of trials.

Answer
A
we count the number of successes among a fixed number of trials.
B
we count the number of trials to obtain the first success.
C
the trials must be binary and independent.
D
the probability of success must be the same for each trial.
E
we have a fixed number of trials.

Explanation

A geometric setting counts the number of trials needed to get the first success, so B applies. Each trial must have two possible outcomes (success or failure), the trials must be independent, and the probability of success must stay the same from trial to trial, so C and D apply. A fixed number of trials is not required; that describes a binomial setting instead.

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