Question

In: Statistics and Probability

The number of database queries made during any interval of time is a Poisson random variable....

The number of database queries made during any interval of time is a Poisson random variable. On average, six queries are made every minute. Determine the probability that three or more queries will be made during an interval of 15 seconds.

Solutions

Expert Solution

Answer:

Given that,

The number of database queries made during any interval of time is a Poisson random variable.

On average, six queries are made every minute.

Determine the probability that three or more queries will be made during an interval of 15 seconds:

Given that the number of database queries made during any interval of time Poisson [=6].

Therefore, the number of database queries made during an interval of 15 seconds.

Therefore, the probability that three or more queries will be made during an interval of 15 seconds,

=1-0.8088

=0.1912


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