Activity 2. Consider sampling the 300 students, in a different way, to obtain a sample of 150 stu-dents. Alongside each name, the numbers 1 and 2 are listed alternately (1, 2, 1, 2, ...). A fair coin is tossed. If the outcome is heads, the sample is taken to be the 150 students with a ʻ1' next to their name. If the outcome is tails, the sample is the 150 students with a '2' next to their name. a. Using this method, how many possible samples of 150 can be obtained? b. Does every student have the same chance of selection? e Is thisa simple random cample?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please answer Activity 2 only. Thank you. 

Illustrative Example:
Grade 10 learners: 1, 000 learners (population)
Random sample: 100 learners
sample
100
ороpulation
1,000
Activity 1. Identify whether the following refer to population or sample:
_1. The total number of students in a school.
_2. A group of 30 patients in a hospital undergoing treatment for COVID.
_3. The ages of all vendors in a public market.
_4. The top 50 top-earning Filipinos.
_5. The list of all countries in the world.
Activity 2. Consider sampling the 300 students, in a different way, to obtain a sample of 150 stu-dents. Alongside each
name, the numbers 1 and 2 are listed alternately (1, 2, 1,2, .. .). A fair coin is tossed. If the outcome is heads, the sample is
taken to be the 150 students with a 'l° next to their name. If the outcome is tails, the sample is the 150 students with a '2'
next to their name.
a. Using this method, how many possible samples of 150 can be obtained?
b. Does every student have the same chance of selection?
c. Is this a simple random sample?
Transcribed Image Text:Illustrative Example: Grade 10 learners: 1, 000 learners (population) Random sample: 100 learners sample 100 ороpulation 1,000 Activity 1. Identify whether the following refer to population or sample: _1. The total number of students in a school. _2. A group of 30 patients in a hospital undergoing treatment for COVID. _3. The ages of all vendors in a public market. _4. The top 50 top-earning Filipinos. _5. The list of all countries in the world. Activity 2. Consider sampling the 300 students, in a different way, to obtain a sample of 150 stu-dents. Alongside each name, the numbers 1 and 2 are listed alternately (1, 2, 1,2, .. .). A fair coin is tossed. If the outcome is heads, the sample is taken to be the 150 students with a 'l° next to their name. If the outcome is tails, the sample is the 150 students with a '2' next to their name. a. Using this method, how many possible samples of 150 can be obtained? b. Does every student have the same chance of selection? c. Is this a simple random sample?
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