Compare finite sampling with a replacement model
Your goal: Calculate a sample-count report without replacement, then compare it with independent draws at the same starting proportion.
Full task requirements
Enter separate formulas in E2:E6. A finite population has B2 total records and B3 marked records; choose a uniformly random subset of B4 records without replacement. E2 is the probability of exactly B5 marked records, E3 is at most B5 and E4 is at least B6. E5 is the expected marked count. E6 is the contrasting exact-count probability if the B4 draws were instead independent with replacement, each having event proportion B3/B2. Do not use that contrasting model for E2:E4.
Five draws from twenty recordsKeep the finite pool and draw count distinct
Read each probability-model input beside its original A label. Count, event proportion and exposure units have different roles; probabilities retain full precision.
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Step 1 of 4
Keep the finite pool and draw count distinct
Rules for this step
Select total population, marked records and draw count. Sampling is without replacement; a draw changes the composition of what remains.