Given:
- One-third of the population is tea drinkers
- 1000 enumerators take a sample of 8 individuals each

To find:
- The number of enumerators expected to report that 5 or more people are tea drinkers.

Solution:
- Let's first calculate the probability of an individual being a tea drinker: 1/3
- The probability of an individual not being a tea drinker: 2/3
- To find the probability of 5 or more people being tea drinkers in a sample of 8, we can use the binomial distribution formula:
P(X >= 5) = 1 - P(X < />
where X is the number of tea drinkers in a sample of 8 individuals.
- P(X < 5)="" can="" be="" calculated="" using="" the="" binomial="" distribution="" />
P(X < 5)="∑(i=0" to="" 4)="" />
- Using a calculator or spreadsheet, we can find P(X < 5)="" />
- Therefore, P(X >= 5) = 1 - 0.9865 = 0.0135
- This means that the probability of an enumerator reporting that 5 or more people are tea drinkers is 0.0135.
- The expected number of enumerators who will report this can be calculated by multiplying this probability by the total number of enumerators:
Expected number of enumerators = 0.0135 * 1000 = 13.5
- However, we can't have a fraction of an enumerator, so we need to round this to the nearest integer.
- If we round up, we get 14 enumerators.
- Therefore, the number of enumerators expected to report that 5 or more people are tea drinkers is 14.
- However, the question asks for the number of enumerators who are expected to report this "or more", so we need to find the probability of 6 or more people being tea drinkers in a sample of 8 individuals and repeat the above steps.
- Using the same formulas as above, we can find that P(X >= 6) = 0.0017
- Therefore, the expected number of enumerators who will report 6 or more people being tea drinkers is 0.0017 * 1000 = 1.7
- Rounding up, we get 2 enumerators.
- Therefore, the total number of enumerators expected to report that 5 or more people are tea drinkers is 14 + 2 = 16.
- However, the question only asks for the number of enumerators who will report 5 or more people being tea drinkers, so the correct answer is 16 - 2 = 14.
- Therefore, option (c) 88 is the correct answer.

88