Normally distributed random variable


Suppose x is a normally distributed random variable with mu = 13 and sigma = 2. Find each of the following probabilities (ALL inequalities are "or equal to"):

A: P(x > 16.5)

B: P(x < 11.5)

C: P(13.98 < x < 17.98)

D: P(8.42 < x < 15.56)

Resource Reservation Protocol (RSVP) was originally designed to establish signaling links for stationary networks. RSVP was applied to mobile wirless tech. A simulation stufy revealed that the transmission delay (in milliseconds) of an RSVP linked wireless device has an approx normal distribution with mean mu = 46.5 ms & sigma = 8.5 ms.

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

What is the probability that the transmission delay is between 40 and 60 ms?

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Basic Statistics: Normally distributed random variable
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