Question

1.3.21 Question Help You want to seloct a random sample of n 1 from a population of three items (which are called A, B, and C). The rule for selecting the sample is as follows: Flip a coin if it is heads, pick item A; ส it is tails Mp the coin again, this tirne, n'a is heads, choose B, if it is tails, choose : Explain why this is a probability sample, but not a simple random sample Choose the correct answer below O A. This is a probabilty sample because the exact probability of each outcome is unknown, but it is not a simple random sample because i is known that there is a higher probability of picking item A than there is of picking item B or of picking item C O B. This s a probability sample because the probability of each outcome is the same, but it is not a simple random sample because the N items in the frame were redit not partitioned into n groups of k items. O C. This is a probability sample because the probability of each outcome is known, but it is not a simplo random samplo because there is a higher probability of picking item A than there is of picking item B or of picking item C D. This is a probability sample because the probability of each outcome is the same, but it is not a simple random sample because both times you cannot flip the same coin Click to select your answer and then click Check Answer. All parts showing Clear All heck Answer Type here to search

Answer 1

Here we can see each item A , B , and C do not have the same probability of selection. The probability A is selected is ½ ; the probability B is selected is ¼ , as is the probability C is selected.

So the correct option is (C)

(c) This is a probability sample because the probability of each outcome is known , but it is not simple random sample because there is higher probability of picking item A than there is of picking item B or of picking item C .