Answered

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Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is [tex]\(\frac{1}{29}\)[/tex], what is the chance of Tara being selected?

A. [tex]\(\frac{1}{290}\)[/tex]
B. [tex]\(\frac{1}{29,000}\)[/tex]
C. [tex]\(\frac{1}{29}\)[/tex]
D. [tex]\(\frac{1}{2900}\)[/tex]

Sagot :

GinnyAnswer
In a simple random sample, each individual in the population has an equal chance of being selected. The probability of selecting any one specific individual, such as Kenny or Tara, is given by the total number of individuals in the population.

Given that the chance of Kenny being selected is [tex]\(\frac{1}{29}\)[/tex], we can determine the chance of Tara being selected by the same logic, as both Kenny and Tara are part of the same population.

Thus, since the selection chance is the same for each individual in a simple random sampling process, the chance of Tara being selected is also [tex]\(\frac{1}{29}\)[/tex].

Therefore, the correct answer is:
C. [tex]\(\frac{1}{29}\)[/tex]
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