Question

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 egg
09-99, 00 = carton does not contain a broken egg
Here is a portion of a random number table.
1 31645 03495 96193 10898
2 67940 85019 98036 98252
3 21805 26727 73239 53929
4 03648 93116 98590 10083
5 71716 46584 35453 98153
In the first trial, line 1, 1 of the first 10 double-digit numbers is between 01 and 08, meaning that 1 of the 10 cartons of eggs contains at least one broken egg. Starting at line 2 and using a new line for each trial, carry out 4 more trials. Based on the 5 trials, how many cartons of eggs out of 10 cartons are expected to contain at least one broken egg, on average?
A. 0
B. 1
C. 2
D. 8

Answer 1

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

How to determine the number of cartons

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

Hence, 1 carton of eggs is expected to contain at least one broken egg, on average

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