Mathematics, 20.11.2020 18:50 maithe

Let S represent the number of randomly selected adults in a community surveyed to find someone with a certain genetic trait. The random variable S
follows a geometric distribution with mean 4.66. Which of the following is a correct interpretation of the mean?

A. A value randomly selected from the distribution of S
is expected to be 4.66.
A value randomly selected from the distribution of S is expected to be 4.66.

B. In repeated sampling from the distribution of S
, the average of the values will approach 4.66.
In repeated sampling from the distribution of S, the average of the values will approach 4.66.

C. For a sample of values randomly selected from the distribution of S
, the average of the sample will be 4.66.
For a sample of values randomly selected from the distribution of S, the average of the sample will be 4.66.

D. The probability is 0.66 that a value randomly selected from the distribution of S
will be close to the mean.
The probability is 0.66 that a value randomly selected from the distribution of S will be close to the mean.

E. For a sample of values randomly selected from the distribution of S
, the average of the sample will vary from the population mean by no more than 4.66.

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