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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WEIJIANG5678GO WEIJIANG5678GO · Answer 1

Answer: A) For all groups of 45 people, the average number of people without the characteristic is 2.7

Explanation:

The mean value of people without the characteristic is 2.7 for all groups in the binomial distribution.

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AFOKE88GO AFOKE88GO · Answer 2

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

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, B has 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.

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