Question: The annual maximum number of transactions occurring at a server cluster of an online store in an hour (X) follows an extreme value, largest type

The annual maximum number of transactions occurring at a server cluster of an online store in an hour (X) follows an extreme value, largest type I, distribution with a mean of 500,000 and a standard deviation of 100,000 transactions. The server cluster can handle 750,000 transactions beyond which transactions are deferred by asking users to return at a later time and potentially losing them as customers. Determine the probability that the cluster will not meet demand at such peak times.

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