Assuming that half the population are consumers of chocolate, so that the chance of an individual being a consumer is 1/2, and assuming that 100 investigators each take ten individuals to see whether they are consumers, how many investigators would you expect to report that 3 people or less were consumers?

Explanation

To solve the problem, we need to determine how many investigators would report that 3 or fewer individuals are consumers of chocolate. We will use the binomial distribution formula for this calculation.

### Step-by-Step Solution:

1. **Define the Parameters**:
- Probability of an individual being a consumer of chocolate, \( p = \frac{1}{2} \).
- Probability of an individual not being a consumer, \( q = 1 - p = \frac{1}{2} \).
- Number of individuals sampled by each investigator, \( n = 10 \).
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