Final answer:
The rate parameter A for the exponential distribution is 0.1667.
Step-by-step explanation:
To find the rate parameter A of the exponential distribution, we need to use the formula:
A = 1 / mean_waiting_time
In this case, the average time between customer purchases is 6 minutes. Therefore, the rate parameter A is:
A = 1 / 6 = 0.1667 (rounded to 4 decimal places).