Advanced Placement (AP)

In a certain region, 94 percent of the people have a certain characteristic in their blood. Suppose a group of 45 people from the region are selected at random. Let the random variable B represent the number of people in the sample without the characteristic. Random variable B follows a binomial distribution with a mean of 2.7 people. Which of the following is the best interpretation of the mean?
For all groups of 45 people, the average number of people without the characteristic is 2.7.
B) Every group of 45 people will have 2.7 people with the characteristic.
Every group of 45 people will have 2.7 people without the characteristic.
On average, 2.7 people are selected until finding someone with the characteristic
On average, 2.7 people are selected until finding someone without the characteristic

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