Mathematics, 21.10.2020 17:01 carlo123

During the daily lunch rush, arrivals at the drive-thru at a nearby McDonald follow a Poisson process with a rate of 1 customers per minute. (a) What is the expected number of customers in 1 hour, and what is the corresponding standard deviation? (b) The drive-thru’s workers can’t handle more than 10 customers in any 5-minute span. Determine the probability that too many customers arrive for the workers to handle between 12:15 p. m. and 12:20 p. m. (c) A customer has just arrived. What is the probability another customer will arrive within the next 30 seconds? (d) The 100th lunch customer, starting at 12:00 p. m., gets a free meal. What is the expected value of the arrival time of that lucky customer, and what is the standard deviation of that time?

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