Resource Reservation Protocol (RSVP) was originally designed to establish 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 mu =49.5 milliseconds and sigma = 8.5 milliseconds. Complete parts a and b.
a. What is the probability that the transmission delay is less than 57 milliseconds? P(x < 57) = __ (Round to three decimal places as needed.)
b. What is the probability that the transmission delay is between 40 and 60 milliseconds? P(40 < or = x < or =60) = __(Round to three decimal places as needed.)