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Mathematics, 04.04.2020 09:10 jyx

An old house in Pomona, CA is inhabited by a variety of ghosts. Ghost appearances occur in the house according to a Poisson process having a rate of 1.4 ghosts per hour. A professor from Cal Poly Pomona has developed a device that can be used to detect ghost appearances. Suppose it is now 1:00 p. m. and the last ghost appearance (the 6th overall) was at 12:35 p. m.
What is the probability that the 7th ghost will appear before 1:30 p. m., to the nearest three decimal places?

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