Question

7 QUESTIONS 10 points Save An An old house in Fayetteville is inhabited by a variety of ghosts. Ghost appearances occur in the house according to a Poisson process having a rate of 1.7 ghosts per hour. A professor from Transylvania University has developed a device which can be used to detect ghost appearances. Suppose we begin observing the facility at 8:00 am On average, how long (in hour) does it take for the 14th ghost to appear? (Report answer to three decimal places. Answer must be within +/-0.001 of correct value)

Answer 1

solution:

here for gamma distribution paramter rate $\lambda$ = 1.7 and $\alpha$ =14

therefre expected time it take for the 14th ghost to appear =$\alpha$/$\lambda$ =14/1.7=8.2352 hours