An exponential probability distribution has lambda equal to 18 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 14 minutes? d) What is the probability that the next customer will arrive within the next 15 minutes?
Added by Sara G.
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To do this, we divide by 60 (since there are 60 minutes in an hour): $\lambda = \frac{18}{60} = 0.3$ customers per minute. Now, we can use the exponential probability distribution formula to find the probabilities for each scenario: $P(X \leq t) = 1 - Show more…
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