Question

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?.

Answer 1

The best interpretation of the mean is;

Option A; For all groups of 45 people, the average number of people without the characteristic is 2.7

Interpretation of Mean

We are given;

Percentage of people with a certain characteristic in their blood = 94%

Number of people selected = 45

Number of people without the characteristic in their blood = B

Now, we are told that B  follows a binomial distribution with a mean of 2.7 people.

Now, in statistics, mean is defined as the average of a set of data.

Thus, this mean refers to the average number of people that don't have the characteristic in their blood from the group of 45 people.

The missing options are;

A) 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.

C) Every group of 45 people will have 2.7 people without the characteristic.

D) On average, 2.7 people are selected until finding someone with the characteristic

E) On average, 2.7 people are selected until finding someone without the characteristic

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