Final answer:
The average minutes between two successive deliveries at Richard's Furniture Company during a set delivery window can be determined by dividing the total minutes of the delivery window by the number of deliveries. Similarly, the time taken for three customers to arrive would be three times this average interval.
Step-by-step explanation:
When trying to determine the time between events and averages of these times in a continuous and uniform distribution, we can apply the concept of probability distributions to calculate the average time between two successive events (arrivals or deliveries) or to find out how long it typically takes for a certain number of events to occur. On average, how many minutes elapse between two successive arrivals?
Richard's Furniture Company delivers furniture in a 4-hour window, from 10 a.m. to 2 p.m. Since the deliveries are described as continuous and uniform, we can infer that the intervals between deliveries are also uniform.
The total delivery window is 4 hours, or 240 minutes. If deliveries occur uniformly over this time, the average time between two successive arrivals is simply the total delivery window duration divided by the number of arrivals.
To calculate this, let's presume they make 'n' deliveries in that 4-hour span. The average minutes between two successive arrivals would then be 240/n minutes.
Without the exact number of deliveries 'n', we can't calculate a specific answer. When the store first opens, how long on average does it take for three customers to arrive?
For three customers to arrive, it would typically take three times the average interval between two arrivals. Without the exact number of deliveries, we can't provide a specific average time.
However, if we knew the average interval were 'x' minutes, then the average time for three customers to arrive would be 3x minutes.