An exponential probability distribution has lambda equal to 22 customers per hour. Find the following probabilities. a) What is the probability that the next customer will arrive within the next 2 minutes? b) What is the probability that the next customer will arrive within the next 15 seconds? c) What is the probability that the next customer will arrive within the next 15 minutes? d) What is the probability that the next customer will arrive within the next 16 minutes?
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1 hour = 60 minutes 1 hour = 3600 seconds So, the rate in customers per minute is: $\lambda_{minute} = \frac{22}{60}$ And the rate in customers per second is: $\lambda_{second} = \frac{22}{3600}$ Now, we can use the exponential probability distribution formula Show more…
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