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In: Statistics and Probability

Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations,...

Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting time before you can be seated. Let x represent the length of time waiting to be seated. From past experience, you know that the mean waiting time is μ = 17.2 minutes with σ = 3.8 minutes. You assume that the x distribution is approximately normal. (Round your answers to four decimal places.)(a) What is the probability that the waiting time will exceed 20 minutes, given that it has exceeded 15 minutes? Hint: Compute P(x > 20|x > 15).


(b) What is the probability that the waiting time will exceed 25 minutes, given that it has exceeded 18 minutes? Hint: Compute P(x > 25|x > 18).

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orchestra answered 2 years ago
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