Final answer:
Arrival times can be modeled to find probabilities for customer arrivals. One customer arrives on average every two minutes, so three customers would take six minutes on average to arrive after the store opens. More specifics would be needed to calculate probabilities for arrival times other than the average.
Step-by-step explanation:
The probability of events occurring in a specific timeframe can be calculated based on average arrival times and distribution models. When a customer arrives, we can use these models to estimate the probability of certain events, such as the next customer arrival.
a. On average, it's given that one customer arrives every two minutes, therefore the average time between two successive arrivals is two minutes.
b. Using this information, we can calculate that on average it will take six minutes for three customers to arrive after the store opens, since one customer arrives every two minutes on average.
c. To find the probability that it takes less than one minute for the next customer to arrive, we would need the specific probability distribution, but based on the given average arrival rate, this event is less likely than an arrival taking exactly two minutes.
d. Similarly, finding the probability that it takes more than five minutes for the next customer to arrive would also depend on the probability distribution, but we can infer it’s more probable given the average time between arrivals is two minutes.