W6-slides2 - Lecture 16- Outline and Examples Continuous...

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Unformatted text preview: Lecture 16- Outline and Examples Continuous random variables (Ross Ch 5)-Normal (Gaussian) random variable (Ross 5.4)-Normal Approximation to Binomial (Ross 5.4.1) Normal Random variable (Ross 5.4) Exercise: Suppose X N ( , 2 ) and Z = X- , use tables to verify the following: P ( | X- | ) = P ( | Z | 1) = 0 . 6826 P ( | X- | 2 ) = P ( | Z | 2) = 0 . 9544 P ( | X- | 3 ) = P ( | Z | 3) = 0 . 9974 Example The time that it takes a driver to react to the brake lights on a decelerating vehicle is critical in helping to avoid rear-end collisions. It is suggested that the reaction time for an in-traffic response to a brake signal from standard brake lights can be modeled with a normal distribution having mean value 1.25 sec and standard deviation of 0.46 sec. What is the probability that the reaction time is between 1.00 sec and 1.75 sec? Example The time that it takes a driver to react to the brake lights on a decelerating vehicle is critical in helping to avoid rear-end collisions. It isdecelerating vehicle is critical in helping to avoid rear-end collisions....
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W6-slides2 - Lecture 16- Outline and Examples Continuous...

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