QUESTION 5 An old house in Fayetteville is inhabited by a variety of ghosts. Gho

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QUESTION 5 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 1.6 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 a.m. What is the expected value of the time (in hour) between 9th and 10th ghost appearances? ( Report answer to three decimal places. Answer must be within +/- 0.001 of correct value.) QUESTION 6 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 2 ghosts per hour. A professor from Transylvania University has developeda device which can be used to detect ghost appearances. Suppose we begin observing the facility at 8:00 a.m. What is the probability that the 3rd ghost appears after 9:30 a.m.? ( Report answer to three decimal places. Answer must be within +/- 0.001 of correct value.)

Explanation / Answer

5)
let X be the time between 9th and 10th ghost appearance
inerarrival times follow exponential distribution with rate lambda

here klambda = 1.6 ghost/hour
here we need to find E(X)

E(X) = 1/ lambda = 1/1.6 = 0.625

Please post rest questions again

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