In a college population of 10,000 people, suppose you want to randomly pick a sample of 1000 for a survey. For any particular sample of 1000, if you are sampling with replacement, what is the chance of picking the first person . what is the chance of picking a different second person . and lastly, what is the chance of picking the same person again. please help me, i think i can do the first one.
here is the answer . how did they get it in a college population of 10,000 people, suppose you want to randomly pick a sample of 1000 for a survey. For any particular sample of 1000, if you are sampling with replacement, the chance of picking the first person is 1000 out of 10,000 (0.1000); the chance of picking a different second person for this sample is 999 out of 10,000 (0.0999); the chance of picking the same person again is 1 out of 10,000 (very low). If you are sampling without replacement, the chance of picking the first person for any particular sample is 1000 out of 10,000 (0.1000); the chance of picking a different second person is 999 out of 9,999 (0.0999); you do not replace the first person before picking the next person. Compare the fractions 999/10,000 and 999/9,999. For accuracy, carry the decimal answers to 4 place decimals.
im not sure how they got , the chance of picking a second different person
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