Quiz_4sol - (from formula sheet(a P(X> 1 = exp- x =...

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March, 05 Math 333-002, Fall 2007 Name:_____________ Student ID :______________ I pledge I have not violated the NJIT Honor Code _______________________ Must show all work for full credit! 1 The time between the arrivals of electronic messages at your computer is exponentially distributed with a mean of 1.5 hours. (a) What is the probability that you do not receive a message during a one-hour period? (4 pts) X: time taken to receive the next message. Given E(X) = 1.5 = 1/
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Unformatted text preview: λ (from formula sheet). (a) P(X > 1) = exp(-λ x) = exp(-[1/1.5]1) = exp(-2/3) = 0.5134. (b) If you did not receive a message in the last four hours what is the probability that your do not receive a message in the next hour?(4 pts) (b) P(X > 5/ X > 4) = (by loss of memory property) = P(X > 1) = 0.5134 (from (a) above). (c) What is the expected time between your fourth and fifth message? (2 pts) Same as E(X) = 1.5 hours....
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