Question 6 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
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. What is an appropriate assignment of digits for this simulation?
Answer
A
Let 01-08 = the carton contains a broken egg. Let 09-99 and 00 = the carton does not contain a broken egg.
B
Let 09-99 and 00 = the carton contains a broken egg. Let 01-08 = the carton does not contain a broken egg.
C
Let 1-8 = the carton contains a broken egg. Let 9 and 0 = the carton does not contain a broken egg.
D
Let 9 and 0 = the carton contains a broken egg. Let 1-8 = the carton does not contain a broken egg.
Explanation
A two-digit number from 00 to 99 gives 100 equally likely outcomes. Since 8% is 8 out of 100, assign 8 outcomes—01 through 08—to cartons with at least one broken egg, and the other 92 outcomes to cartons without a broken egg. Thus, the appropriate assignment is 01–08 for a broken egg and 09–99 and 00 for no broken egg.
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