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: 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

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:  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

Quizplus · Accepted Answer

The researcher assigned the digits 1 through 36 to X and the digits 37 to 56 to Y. The random number table given has a total of 10 digits, so the first digit can only fall between the numbers 0 and 5. Since the probability for X is 36/56, any number from 0 to 3 will represent X and any number from 4 to 5 will represent Y. The first digit in the given random number table is "1", which falls between 0 and 3, so the first choice is X. The second digit is "1" again, so it falls in the range for X. Therefore, the second choice will also be X. However, if the second digit were a number from 4 to 9, the second choice would be Y. Therefore, the answer is B. The researcher assigns the digits from 1 through 36 to X and the digits 37 to 56 to Y. The random number table produces the first digit as 7, which falls in the range of Y. Thus, the first choice is Y. The second digit is 6, which falls in the range of X. Thus, the second choice is X. Therefore, the best choice is B.

A Researcher Is Using a Random Number Table to Pick