A supermarket has a self-service checkout area. The management knows that the self-service checkout area can handle 6 customers per minute without a line of customers forming--waiting to get into the self-service checkout area. If 7 or more customers arrive during any minute, some customers will have to wait in line. The random variable C is the count of customer arrivals at the supermarket's self-service checkout area per minute (between 2 pm and 4 pm on weekdays). From long record-keeping, and given usual conditions at its cashier-assisted checkout lanes during that time period, management knows that the population mean of C is 4 and that C has a Poisson distribution. Compute the probability that the supermarket will have a line of customers waiting to get into the self-service checkout area at any time between 2 pm and 4 pm on weekdays.
A supermarket has a self-service checkout area. The management knows that the self-service checkout area can handle 6 customers per minute without a line of customers forming--waiting to get into the self-service checkout area. If 7 or more customers arrive during any minute, some customers will have to wait in line.
The random variable C is the count of customer arrivals at the supermarket's self-service checkout area per minute (between 2 pm and 4 pm on weekdays). From long record-keeping, and given usual conditions at its cashier-assisted checkout lanes during that time period, management knows that the population mean of C is 4 and that C has a Poisson distribution.
Compute the probability that the supermarket will have a line of customers waiting to get into the self-service checkout area at any time between 2 pm and 4 pm on weekdays.
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