Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Donnell and Maria are both members of a population, and a simple random sample is being conducted. If the chance of Donnell being selected is [tex]\frac{1}{290}[/tex], what is the chance of Maria being selected?

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


Sagot :

To determine the chance of Maria being selected, let's first understand that a simple random sample means every member of the population has an equal probability of being selected.

Given:
- The chance of Donnell being selected is [tex]\(\frac{1}{290}\)[/tex].

Since Donnell and Maria are both members of the same population, and the sampling method is simple random sampling, the probability that Maria will be selected must be the same as that of Donnell. This is a key principle of simple random sampling where each member has an equal chance of selection.

Thus, the chance of Maria being selected is the same as the chance of Donnell being selected:

[tex]\[\frac{1}{290}.\][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{\frac{1}{290}} \][/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.