EXAM 1 Questions Spring 2007 - EXAM 1 Name Jasen Shorter...

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EXAM 1   Name:  Jasen Shorter Start time:  April 9, 2007 2:38am Time allowed:  48 hours Number of questions:  5 Finish    Help   TO GET FULL CREDIT FOR A PROBLEM YOU MUST SHOW ALL THE WORK TO GET THE ANSWER. IF YOU  GIVE ME JUST THE ANSWER I WILL GIVE YOU ONLY 2 POINTS IF IT IS CORRECT AND 0 IF NOT.  Question 1    (6 points) A digital communication system transmits one of three values -1, 0 , 1. A channel adds noise to cause the decoder  to sometimes make an error. The error rates are 20% if a -1 is transmitted, 50% if a 0 is transmitted, and 30% if a 1  is transmitted. If the probabilities for the various symbols being transmitted are P[-1] = .2 P[1] = .3 and P[0] = .5,  find the probability of error.  Equation:   Equation editor   Save answer Bottom of Form Question 2    (6 points) A new bus runs on Sunday, Tuesday, Thursday, and Saturday while an older bus runs on the other days. The new 
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Unformatted text preview: bus has a probability of being on time of 3/4 while the older bus has a probability of only 1/4. If a passenger chooses an arbitrary day of the week to ride the bus, what is the probability that the bus will be on time? Equation: Equation editor Save answer Bottom of Form Question 3 (6 points) How many committees with 3 females and 5 males can you make from a group of 7 males and 5 females? Equation: Equation editor Save answer Bottom of Form Question 4 (6 points) What happens to the following equation if A and B are not independent ? Equation: Equation editor Save answer Bottom of Form Question 5 (6 points) Determine the Probability that in a class of 32 students at least one will have the same birthday as you. Equation: Equation editor Save answer Bottom of Form Finish...
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  • Spring '08
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