Final answer:
The mean of the random variable X, where X is the number of customers who arrive at the '15 items or fewer' lanes in any one minute period, is 0.33 customers per minute.
Step-by-step explanation:
The mean of the random variable X, where X is the number of customers who arrive at the '15 items or fewer' lanes in any one minute period, can be calculated using the average rate of arrival. In this case, the average rate is three customers per minute. The mean is equal to the reciprocal of the average rate, which is 1/3 or approximately 0.33 customers per minute.