Mathematics · Sampling Theory
To draw a sample of size n (n ≥ 5) using a without replacement scheme from a finite population {U1, U2, ..., UN} of size N, the first unit is chosen using PPS(p1, p2, ..., pN) scheme and the remaining (n - 1) units are drawn using SRSWOR. Then the probability that U2 is included in the sample is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1N - nN - 1p2 + n - 1N - 1✓
- 2N - nN - 1p2 + N - nN - 1
- 3N - nN - 1p2 + n - 2N - 1
- 4N - nN - 1p2 + 1N - 1
Correct answer
N - nN - 1p2 + n - 1N - 1
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