A random voltage can be modelled as gaussian with a mean?

1)) A random voltage can be modelled as gaussian with a mean value of 6V and a standard deviation of 2V. what is the probability, to two significant figures, that the voltage will fall between 2V and 10V?


Choose the Closest option and pencil across the appropriate cell in row 10.


A- 0.98 ____________________ E- 0.82


B- 0.27 ____________________ F- 0.68


C- 0.48 ____________________ G 0.92


D- 0.41 ____________________ H- 0.95





2)) A digital system uses received voltage levet of 0 V and 3.0 Vas the two digital states, with a threshould of 1.5V. Assuming that the noise in the system is additive and gaussian with zero mean, and that binary 1s and 0s are equally likely, what is the maximum permissible r.m.s. noise voltage if the overall error rate is to be kept below 2 in 10000?





Choose closest option and pencil across the appropriate cell in row 11.


A 0.13 V _____________ E 0.6V


B 0.27 V _____________ F 0.7 V


C 0.34 V _____________ G 1.1V


D 0.42 V _____________ H 1.6 V

A random voltage can be modelled as gaussian with a mean?
1) you need something like the marcum Q function or the complementary error function to determine this:





http://ece-www.colorado.edu/~bart/book/g...





2) same again execept that now you only need to evaluate for a 1.5V threshold but don't forget to devide the complementary error function value by 2 as you are only interested in noise which takes you across the threshold ( not the other way).

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