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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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)
(B)
(С
D
E
A value randomly selected from the distribution of S is expected to be 4.66.
In repeated sampling from the distribution of S, the average of the values will approach 4.66.
For a sample of values randomly selected from the distribution of S, the average of the sample will be 4.66.
The probability is 0.66 that a value randomly selected from the distribution of S will be close to the mean.
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.
Transcribed Image Text: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) (B) (С D E A value randomly selected from the distribution of S is expected to be 4.66. In repeated sampling from the distribution of S, the average of the values will approach 4.66. For a sample of values randomly selected from the distribution of S, the average of the sample will be 4.66. The probability is 0.66 that a value randomly selected from the distribution of S will be close to the mean. 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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