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IEE380Summer09_Q5_Solutions

# IEE380Summer09_Q5_Solutions - IEE 380 Summer 2009 Quiz#5A a...

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IEE 380 Summer 2009 Name:__________________________ Quiz #5A a. Find a such that P( a < Z < .11) = .410295 Φ (.11) – Φ (a) = .410295 - Φ (a) = .410295 - Φ (.11) = .410295-.543795 Φ (a) = .133500, so a = -1.11 b. X is the number of calls coming into a Verizon help center per hour. X is known to be distributed Poisson with mean equal to 4. What is the probability that no calls come into the center in a 30-minute time period? Leave your answer in term form but show all numerical values. For a 1-hour period, c = 4. For a 30-minute period, c = 2 Find P(X = 0) ! 0 2 ) 0 ( .... ! ) ( 2 0 - - = = e p x e c x p c x IEE 380 Summer 2009 Name:__________________________ Quiz #5B a. The number of components, Y, that fail in an hour is known to be distributed Poisson with mean equal to 6. What is the probability that exactly one component fails in the next 30 minutes? Leave your answer in term form but show all numerical values. For a 1-hour period, c = 6. For a 30-minute period, c = 3 Find P(Y = 1) ! 1 3 ) 1 ( ! ) ( 3 1 - - = = e p y e c y p c y b. Find a such that P(-1.11< Z < a ) = .410295 Φ (a) – Φ (-1.11) = .410295 Φ (a) = .410295 + Φ (-1.11) = .410295+ .133500 =.543795 Φ (a) = .5543795, so a = .11

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IEE 380 Summer 2009 Name:__________________________ Quiz #5C a. The number of components, Y, that fail in an hour is known to be distributed Poisson with
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