Consider the following sample of four measurements {1,2,3,4}.How many distinct resamples are possible?
A)4
B)10
C)24
D)35
E)27

Question

Quizplus · Accepted Answer

In this context, the question refers to the number of distinct resamples possible when sampling with replacement. For a set of four measurements, the number of distinct resamples is calculated using the formula for combinations with replacement: C(n + r - 1, r), where n is the number of items to choose from (in this case, 4), and r is the number of items being chosen (also 4 in this case). Plugging the numbers into the formula gives us C(4 + 4 - 1, 4) = C(7, 4) = 7! / (4! * (7-4)!) = 35.

Consider the Following Sample of Four Measurements {1,2,3,4}