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# TP%232_f08 - CE 3102 Fall 2008 Thought Problem 2 Those of...

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CE 3102 Fall, 2008 Thought Problem 2 Those of you who’ve taken CE 3201 might recall that traffic engineers get considerable use out of the stopping distance equation: g V VT D μ 2 2 + = D = stopping distance (feet), V = vehicle speed (feet/second) T = driver’s perception/reaction time (seconds), μ = coefficient of tire/pavement friction (dimensionless) g = gravitational acceleration=32.2 feet/second 2 To simplify things, we’ll assume that driver reaction times can be 1, 2, or 3 seconds, that vehicle speeds can be 20, 40, 60, or 80 feet/second, and that μ=0.7. Question 1 Sketch the sample spaces for V and T. Identify the following events graphically on the sketch. a. E = T > 2.0 e. I = F E b. F = V 36 f. J = ( ) F E c. G = E g. K= D > 100 feet d. H = F E Question 2 Based on spot a speed study and some human factors research, suppose we can assign the following probabilities to each of the possible joint events: V= 20 40 60 80 1 .05 .2 .2 .05 T= 2 .03 .09 .12 .06 3 .02 .04 .08 .06 a. Do the numbers in this table represent a valid assignment of probabilities?

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