7. When things are operating properly, a certain Internet bank can process a maximum of 31 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. If during the busiest periods of the day requests for electronic transfers arrive at the rate of 210 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. The probability that the system will be overwhelmed by requests is (Round to four decimal places as needed.) Show your work below.

MATLAB: An Introduction with Applications
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7. When things are operating properly, a certain Internet bank can process a maximum of 31 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. If during the busiest
periods of the day requests for electronic transfers arrive at the rate of 210 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.
The probability that the system will be overwhelmed by requests is
(Round to four decimal places as needed.)
Show your work below.
Transcribed Image Text:7. When things are operating properly, a certain Internet bank can process a maximum of 31 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. If during the busiest periods of the day requests for electronic transfers arrive at the rate of 210 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. The probability that the system will be overwhelmed by requests is (Round to four decimal places as needed.) Show your work below.
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