In an elementary school, 25% of children wear glasses. Suppose that a random sample of 64 children is selected. Find the mean number of children in the sample who wear glasses. Round your answer to the nearest integer.
See previous post.
To find the mean number of children in the sample who wear glasses, we can start by finding the expected value, or the average.
The problem states that 25% of children wear glasses. This means that out of 100 children, 25 of them wear glasses.
To find the expected value for a sample of 64 children, we can use the formula:
Expected value = (Probability of an event) * (Number of trials)
In this case, the probability of a child wearing glasses is 0.25, and the number of trials (children in the sample) is 64.
Expected value = 0.25 * 64 = 16
So, the expected value is 16. However, we need to round the answer to the nearest integer.
Rounding 16 to the nearest integer, we get the mean number of children in the sample who wear glasses as 16.
Therefore, the mean number of children in the sample who wear glasses is 16.