A Researcher Is Using a Random Numbers Table to Pick

question 3

Multiple Choice

A researcher is using a random numbers table to pick between two groups labeled X and Y. X is to be chosen with probability 5/7 and Y with probability 2/7. The researcher
Assigns the digits 1, 2, 3, 4, and 5 to X, and she assigns the digits 6 and 7 to Y. The
Remaining digits are neglected. The researcher uses this section of a random number table
7 9 2 1 5 7 7 3 1 1
What are the first and second choices?

• A) The first selection is X, and the second is X.
• B) The first selection is Y, and the second is Y.
• C) The first selection is Y, and the second is X.
• D) The first selection is X, and the second is Y.

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Definitions:

Length

The measurement of something from end to end, typically considered the greatest dimension of an object.

\(f ( x )\)

A notation representing a function f, with x being the input variable.

Function

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Sketch

A rough or quick representation of a mathematical concept, graph, or figure, often lacking details but illustrating the general shape or idea.