Poisson distribution - Example 3

The following Problem is explained: An Internet bank can process a maximum of 25 electronic transfers every minute during the busiest periods of the day. If it receives more transfer requests than this, then the bank’s computer system will become so overburdened that it will slow to the point that no electronic transfers can be handled. During the busiest periods of the day requests for electronic transfers arrive at the rate of 170 per 10-minute period on average. What is the probability that the system will be overwhelmed by requests? Assume that the process can be described using a Poisson distribution.