A researcher is using a random number table to pick between two groups labelled X and Y. X is to be chosen with a probability of $36 / 56$ and Y with a probability of $20 / 56$ The researcher assigns the digits
From 1 through 36 to X and the digits 37 to 56 to Y. The researcher uses this section of a random number
Table: $2285487127$ What are the first and second choices?
A) The first choice is X and the second choice is undefined
B) The first choice is X and the second choice is Y
C) The first choice is Y and the second choice is X
D) The first choice is Y and the second choice is undefined

Question

Quizplus · Accepted Answer

The first digit is 2, which corresponds to X (1-36). Therefore, the first choice is X. The second digit is 2, which also corresponds to X. However, since a second choice is needed and the digit range for Y has not been reached yet, the researcher must choose Y as the second group. Thus, the second choice is Y.

A Researcher Is Using a Random Number Table to Pick 36/5636 / 5636/56

A Researcher Is Using a Random Number Table to Pick $36 / 56$