When things are operatingproperly, a certain Internet bank can process a maximum of 28 electronic transfers every minute during the busiest periods of the day. If it receives more transfer requests thanthis, then thebank's computer system will become so overburdened that it will slow to the point that no electronic transfers can be handled. If during the busiest periods of the day requests for electronic transfers arrive at the rate of 160 per10-minute period onaverage, what is the probability that the system will be overwhelmed byrequests? Assume that the process can be described using a Poisson distribution.

The probability that the system will be overwhelmed by requests is