Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would like to carry out a simulation to estimate the number of cartons, in a sample of 10, that would contain at least one broken egg. She assigns the digits to the outcomes. 01-08 = carton contains a broken egg09-99, 00 = carton does not contain a broken egg
Answer
A
Read 12 two-digit numbers. Count the number of two-digit pairs that represent cartons containing at least one broken egg.
B
Read 12 two-digit numbers. Count the number of two-digit pairs that must be read to find a carton containing at least one broken egg.
C
Read 10 two-digit numbers. Count the number of two-digit pairs that represent cartons containing at least one broken egg.
D
Read 10 two-digit numbers. Count the number of two-digit pairs that must be read to find a carton containing at least one broken egg.
Explanation
Each two-digit number represents one carton, and 01–08 represents the 8% chance that it contains a broken egg. Since the sample includes 10 cartons, read 10 two-digit numbers and count how many are from 01 through 08. That matches choice C, which counts cartons with at least one broken egg.
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