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Unformatted text preview: 1 Seventh Problem Assignment EECS 401 Problem 1 Random variables X and Y are independent and are described by the proba- bility density functions f X ( x ) and f Y ( y ) 1 x (hours) f X ( x ) 1 y (hours) f Y ( y ) Stations A and B are connected by two parallel message channels. A message from A to B is sent over both channels at the same time. Random variables X and Y represent the message delays over parallel channel I and II, respectively. A message is considered “received” as soon as it arrives on any one channel, and it is considered “verified” as soon as it has arrived over both channels. (a) Determine the probability that a message is received withing 15 minutes after it is sent. (b) Determine the probability that the message is received but not verified within 15 minutes after it is sent. (c) Let M represent the time (in hours) between transmission at A and verification at B. Determine the cumulative distribution function F M ( m ) and then differentiate to obtain the PDF...
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- Spring '08
- Probability, Probability theory, probability density function, Cumulative distribution function