SOLUTION: Resource Reservation Protocol (RSVP) was originally designed to established signaling links for stationary networks. RSVP was applied to mobile wireless technology. A simulation st

Question 947044: Resource Reservation Protocol (RSVP) was originally designed to established signaling links for stationary networks. RSVP was applied to mobile wireless technology. A simulation study revealed that the transmission delay (measured in milliseconds) of an RSVP linked wireless device has an approximate normal distribution with mean =50.5 milliseconds and standard deviation = 8.5 milliseconds.
A. What is the probability that the transmission delay is less than 57 milliseconds? .775
B. What is the probability that the transmission delay is between 40 and 60 milliseconds?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we are given a normal distribution with mean = 50.5 milliseconds and standard deviation = 8.5 milliseconds.
A) calculate z-value for 57 ms
z-value = (57 - 50.5) / 8.5 = 0.764705882
consult z-value tables for Probability(X<57)
Probability(X<57) = 0.7764 approx 0.78
B) probability that the transmission delay is between 40 and 60 milliseconds is
Pr(X<60) - Pr(X<40)
Pr(x<60) - calculate z-value
z-value = (60 - 50.5) / 8.5 = 1.117647059
Pr(X<60) = 0.8686, approx 0.87
Pr(X<40) - calculate z-value
z-value = (40 - 50.5) / 8.5 = −1.235294118
Pr(X<40) = 0.1093, approx 0.11
probability that the transmission delay is between 40 and 60 milliseconds is 0.87 - 0.11 = 0.76

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