Question: Resource Reservation Protocol (RSVP) was originally designed to establish signaling links for stationary networks. In Mobile Networks and Applications (Dec. \(2003\) ), RSVP was applied to mobile wireless technology (e.g., a PC notebook with wireless LAN card for Internet access). A simulation study revealed that the transmission delay (measured in milliseconds) of an RSVP linked wireless device has an approximate normal distribution with \(\mu \) = 48.5 milliseconds and \(\sigma \) = 8.5 milliseconds.

(a) What is the probability that the transmission delay is less than 57 milliseconds?

(b) What is the probability that the transmission delay is between 40 and 60 milliseconds?

(c) What is the probability that the transmission delay is greater than 53 milliseconds?

(d) What is the largest transmission delay a wireless device could have and still be in the best 15% of times (“best” meaning smaller delays)?