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W6-slides2

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

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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)

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Normal Random variable (Ross § 5.4) Exercise: Suppose X N ( μ, σ 2 ) and Z = X - μ σ , use tables to verify the following: P ( | X - μ | ≤ σ ) = P ( | Z | ≤ 1) = 0 . 6826 P ( | X - μ | ≤ 2 σ ) = P ( | Z | ≤ 2) = 0 . 9544 P ( | X - μ | ≤ 3 σ ) = 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?

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

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