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Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9?
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Assuming that one-third of the population is tea drinkers and each of ...
Finding the Expected Number of Enumerators Reporting Five or More Tea Drinkers
Given information:
- One-third of the population are tea drinkers.
- 1000 enumerators take a sample of 8 individuals each to determine if they are tea drinkers.
To find:
- The expected number of enumerators who will report five or more tea drinkers in their sample.
Approach:
1. Determine the probability of having five or more tea drinkers in a sample of 8 individuals.
2. Use this probability to find the expected number of enumerators who will report five or more tea drinkers in their sample.
3. Choose the answer option that is closest to the expected number of enumerators calculated.
1. Probability of having five or more tea drinkers in a sample of 8 individuals:
- We can use the binomial distribution formula to calculate this probability.
- Let p = probability of an individual being a tea drinker = 1/3
- Let n = sample size = 8
- Let x = number of tea drinkers in the sample that we are interested in = 5, 6, 7, or 8
- P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)
- P(X = x) = (nCx) * p^x * (1-p)^(n-x) where nCx is the binomial coefficient
- Using a binomial calculator or formula, we get:
- P(X >= 5) = 0.3012
2. Expected number of enumerators who will report five or more tea drinkers:
- Let E = expected number of enumerators who will report five or more tea drinkers
- E = 1000 * P(X >= 5)
- E = 1000 * 0.3012
- E = 301.2
3. Choose the answer option that is closest to the expected number of enumerators calculated:
- The answer option closest to 301.2 is (c) 88.
- Therefore, the expected number of enumerators who will report five or more tea drinkers is 88.
Given information:
- One-third of the population are tea drinkers.
- 1000 enumerators take a sample of 8 individuals each to determine if they are tea drinkers.
To find:
- The expected number of enumerators who will report five or more tea drinkers in their sample.
Approach:
1. Determine the probability of having five or more tea drinkers in a sample of 8 individuals.
2. Use this probability to find the expected number of enumerators who will report five or more tea drinkers in their sample.
3. Choose the answer option that is closest to the expected number of enumerators calculated.
1. Probability of having five or more tea drinkers in a sample of 8 individuals:
- We can use the binomial distribution formula to calculate this probability.
- Let p = probability of an individual being a tea drinker = 1/3
- Let n = sample size = 8
- Let x = number of tea drinkers in the sample that we are interested in = 5, 6, 7, or 8
- P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)
- P(X = x) = (nCx) * p^x * (1-p)^(n-x) where nCx is the binomial coefficient
- Using a binomial calculator or formula, we get:
- P(X >= 5) = 0.3012
2. Expected number of enumerators who will report five or more tea drinkers:
- Let E = expected number of enumerators who will report five or more tea drinkers
- E = 1000 * P(X >= 5)
- E = 1000 * 0.3012
- E = 301.2
3. Choose the answer option that is closest to the expected number of enumerators calculated:
- The answer option closest to 301.2 is (c) 88.
- Therefore, the expected number of enumerators who will report five or more tea drinkers is 88.
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Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9?
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Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9?.
Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers? (a) 100. (b) 95. (c) 88. (d) 9?.
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