A farmer grows red peppers, yellow peppers, and green peppers to sell at the market. 60% of his crop is green peppers, 10% is yellow peppers, and 30% of his crop is red peppers. He wants to run a simulation of his crop using a random digit table.

Which values should be used in this simulation?

A) Use number 6 to represent green peppers, number 1 to represent yellow peppers, and number 3 to represent red peppers.
B) Use number 0 to represent green peppers, number 1 to represent yellow peppers, and number 2 to represent red peppers.
C) Use numbers 0, 1, 2, 3, 4, and 5 to represent the green peppers, 6 to represent the yellow peppers, and 7, 8, and 9 to represent the red peppers.
D) Use number 0, 1, and 2 to represent green peppers, 3, 4, and 5 to represent the yellow peppers, and 6, 7 and 8 to represent the red peppers. Ignore any 9’s in the random digit table.

1 answer

To determine the correct values to represent each type of pepper in the simulation, we need to allocate random digit ranges based on the proportions of the crop:

  • Green Peppers: 60% of the crop
  • Yellow Peppers: 10% of the crop
  • Red Peppers: 30% of the crop

We can convert these percentages into ranges of digits from 0 to 9 (10 digits total):

  1. Green Peppers (60%):

    • This corresponds to the digits 0 to 5 (6 digits).
  2. Yellow Peppers (10%):

    • This corresponds to the digit 6 (1 digit).
  3. Red Peppers (30%):

    • This corresponds to the digits 7, 8, and 9 (3 digits).

Now putting it all together, we have:

  • 0, 1, 2, 3, 4, 5 for Green Peppers (6 digits)
  • 6 for Yellow Peppers (1 digit)
  • 7, 8, 9 for Red Peppers (3 digits)

Looking at the choices given:

C) Use numbers 0, 1, 2, 3, 4, and 5 to represent the green peppers, 6 to represent the yellow peppers, and 7, 8, and 9 to represent the red peppers.

This option matches our derived digit ranges for each type of pepper.

Therefore, the correct answer is C.