Explore BrainMass

# GAUSSIAN DISTRIBUTION AND PROBABILITY

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

A RANDOM VOLTAGE x(t) HAS A GAUSSIAN DISTRIBUTION WITH A MEAN VALUE OF 0 V AND A STANDARD DEVIATION OF 10V. A SINGLE RANDOM SAMPLE X IS TAKEN. DETERMINE THE FOLLOWING PROBABILITIES:(a) P(X >= 0 V), (b) P(X >= 10 V), (c) P(X <= -10), (d) P(-10 V <= X <= 10 V), (e) P(absolute value of /X/ >= 10 V), (f) P(X >= 20 V), and (g) P(absolute value of /X/ >= 20 V).

© BrainMass Inc. brainmass.com March 4, 2021, 6:00 pm ad1c9bdddf
https://brainmass.com/statistics/probability/gaussian-distribution-probability-22696

#### Solution Preview

Please see the attachment.

A random voltage has a Gaussian (Normal) distribution with a mean value of and a stand deviation ...

#### Solution Summary

A RANDOM VOLTAGE x(t) HAS A GAUSSIAN DISTRIBUTION WITH A MEAN VALUE OF 0 V AND A STANDARD DEVIATION OF 10V. A SINGLE RANDOM SAMPLE X IS TAKEN. DETERMINE THE FOLLOWING PROBABILITIES:(a) P(X >= 0 V), (b) P(X >= 10 V), (c) P(X <= -10), (d) P(-10 V <= X <= 10 V), (e) P(absolute value of /X/ >= 10 V), (f) P(X >= 20 V), and (g) P(absolute value of /X/ >= 20 V).

\$2.49