Question

Dr. Turner is reviewing her patient notes from the visits she had today. However, she is on-call and will receive pages that require immediate attention. Pages come at a Poisson rate of 4 pages per hour. What is the probability that in 30 minutes, Dr. Turner will receive at least 1 page?

Answer 1

To find the probability that Dr. Turner will receive at least 1 page in 30 minutes, we can use the Poisson distribution and the given rate of 4 pages per hour. By substituting the mean value of 30 into the formula, we can find that the probability is approximately 0.0311.

Step-by-step explanation:

The given question involves the Poisson distribution, a probability distribution that is often used to model the number of events occurring in a fixed interval of time or space, such as the number of phone calls received in a certain time period. To find the probability that Dr. Turner will receive at least 1 page in 30 minutes, we can use the Poisson distribution and the given rate of 4 pages per hour. Since 30 minutes is half an hour, we can calculate the probability of receiving at least 1 page using the complementary probability, which is 1 minus the probability of receiving 0 pages or the probability that X ≤ 0. By substituting the mean value of 30 into the formula, we can find that the probability is approximately 0.0311.