f students? The students living in a particular dorm building on campus are easily accessible. So, the counselors select the 72 students living in that particul. dorm building. The counselors take a list of the students and select every 3 student until 72 students are selected. O The counselors form 6 groups of students based on the numbers of classes the students are taking. Then, the counselors select 12 students at ra from each group. O A facilities supervisor at a sports stadium wants to rate the condition of the seats at the stadium. Which of the following best describes a convenience sample of seats? All of the seats in the VIP section are easily accessible. So, the supervisor selects the 90 seats in this section. O The supervisor uses a computer program to draw 90 seats at random and selects these seats. Every set of 90 seats is equally likely to be drawn by computer program. O The supervisor forms groups of 30 seats based on the sections the seats are in. Then, she selects all of the seats in 3 randomly chosen groups. (c) The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a cluster sample of attendees? The organizers form 7 groups of attendees based on the attendees' employment statuses. Then, the organizers select 8 attendees at random from each group. The organizers form groups of 8 attendees based on the day the attendees registered. Then, the organizers randomly choose 7 groups and select all of the attendees in these groups.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Q1)
option c) is correct.
The counselor forms 6 groups of students based on the number of classes the students are taking. Then, the counselor select 12 students ar random from eac group.
Q2)
Option a) is correct.
All of the seats in the VIP section are easily available. So, the supervisor selects the 90 seats in the section.
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