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Given the average per minute, what is the probability per hour?

User Morlock
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Final answer:

To find the hourly probability from a per-minute average, multiply by 60, assuming a constant rate of occurrence. Specific probabilities can be determined using statistical distributions like Poisson for count events or exponential for timing events.

Step-by-step explanation:

To convert the average probability of an event occurring per minute to an hourly basis, one must understand the relationship between minutes and hours. Multiplying the per-minute probability by 60 gives the expected average number of occurrences per hour, assuming the events are independent and occur at a constant rate.

For example, if on average four calls occur per minute (Solution 5.13), we would expect 4 calls/minute * 60 minutes/hour = 240 calls per hour. Similarly, if on average one customer arrives every two minutes (Solution 5.11), we would expect 1 customer/2 minutes * 60 minutes/hour = 30 customers per hour.

To find specific probabilities, such as the likelihood that fewer than 20 calls occur within an hour or the close-interval calling probabilities, we would apply the appropriate statistical distribution model, often the Poisson distribution for count-based events or the exponential distribution for time-based events.

User Brandon Montgomery
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