Suppose that the time between arrivals of customers at a bank during the noon-to-1 p.m. hour has a uniform distribution between 0 and 60 seconds. a. What is the probability that the time between the arrivals of two customers will be less than 48 seconds? b. What is the probability that the time between the arrivals of two customers will be between 9 and 48 seconds? c. What is the probability that the time between the arrivals of two customers will be greater than 32 seconds? d. What are the mean and standard deviation of the time between the arrival of two customers?
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Given that the time between arrivals follows a uniform distribution between 0 and 60 seconds, the probability is calculated as: \[ P(0 \leq x \leq 48) = \frac{48 - 0}{60 - 0} = \frac{48}{60} = 0.80 \] Show more…
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