It is estimated that 17% of americans have blue eyes. A random sample of 9 americans is selected.

1. Find the mean number of blu-eyed people in a sample of 9 americans.

To find the mean number of blue-eyed people in a sample of 9 Americans, we multiply the percentage by the sample size.

Mean = Percentage * Sample Size

Mean = 17% * 9

Mean = 0.17 * 9

Mean = 1.53

Therefore, the mean number of blue-eyed people in a sample of 9 Americans is 1.53.

To find the mean number of blue-eyed people in a sample of 9 Americans, we can use the concept of expected value.

The expected value is the average value we would expect to obtain if we repeated the sampling process many times. In this case, the probability of selecting a blue-eyed person is 17%.

We can use the formula for expected value, which is just the probability of an event occurring multiplied by the value assigned to that event. In this case, the value assigned to each event (selecting a blue-eyed person) is 1 (as it means we have 1 blue-eyed person).

So, the expected value of blue-eyed people in a sample of 9 Americans is:

Expected Value = Probability * Value
= 0.17 * 1
= 0.17

Thus, the mean number of blue-eyed people in a sample of 9 Americans is 0.17. However, since we cannot have a fraction of a person, we round it to the nearest whole number. Therefore, the mean number of blue-eyed people in a sample of 9 Americans is 0 (or approximately 0 after rounding).