Consider the following sample of three measurements {4,8,13}.What is the probability of observing the distinct resample {8,8,8}?
A)1/3
B)0
C)1/27
D)1
E)1/8

Question

Quizplus · Accepted Answer

The probability of selecting an 8 for each of the three resamples independently is 1/3 (since there are three unique numbers and we're choosing one of them each time). Thus, the probability of selecting 8 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.

Consider the Following Sample of Three Measurements {4,8,13}