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AssignmentMultiple Choice

Geometric Random Variables

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

If X is a geometric random variable for which we are counting the number of trials until the first success, what are the possible values of X?

Answer
A
1, 2, 3, …
B
0, 1, 2, 3, …
C
any positive or negative integer
D
any positive or negative number, even numbers that are not integers

Explanation

When X counts the number of trials up to and including the first success, the first success can occur on trial 1, trial 2, trial 3, and so on. Thus X takes positive integer values, so the correct choice is “1, 2, 3, …”.

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