Qlt1 Task 1

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Pages: 4

Task 1 Part 1
Question: There are 40 volunteers for the research study on the Power Pill. Each subgroup of the study will contain 10 participants. Determine how many ways these participants can be selected and explain your method.
Answer: Since there are 40 volunteers, and each subgroup of the study will contain ten participants, the order in which they can be selected does not matter because it was not specified in this problem. Therefore, I came to the conclusion that there are 847,660,528 ways that the participants can be selected. The easiest way that I came to this answer was that I used the combination formula, because like I said earlier, the order does not matter for the selection process.
Task 1 Part 2
Question: There are 15 research doctors participating in the study and the research board needs to be established with the offices of director, assistant director, quality control analyst, and correspondent. (Doctors can only hold one office on the research board.) Determine how many ways this research board can be chosen and explain your process.
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The main thing here is that the doctors can only hold one office on the research board. And just like the last time where the order of this scenario does not matter, we simply use the permutation formula instead of the combination formula. When we plug in our values, we now know that there are 32,760 ways that the research board can be chosen.

Task 2 Part 1
Question: Create a two-way table for the data and find the probabilities for each group. Describe results in terms of the study.
Answer:
Group