A simple random sample of size n is defined as a sample: a. drawn in such a way,

Question

A simple random sample of size n is defined as a sample: a. drawn in such a way, that each person has an equal chance of being selected. b. drawn in such a way, that every subset of size n has an equal chance of being selected. c. Both A and B. d. drawn in such a way, that every subset of size n has a chance, though not necessarily an equal chance, of being selected. Consider the following population of N = 5 students, {Alison, Kaelyn, Michael, Philip, Stanley}. Suppose you use simple random sampling to draw a sample of size n = 3. What is the probability that you draw a sample that is composed of only the boys, i.e., Michael, Philip and Stanley? a. 1/20 b. 1/10 c. 1/6 d. 3/5

Explanation / Answer

10) B a random sample is a subset of the population with the member having equal chances of being selected

11) A
sample space has 5c3=20 elements.We need the set{ Michael,Philip,Stanley}
Therefore the probability is 1/20

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