HW 4 Completed

HW 4 Completed - Homework Set #4 NAME:_Cam Melton_...

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NAME:______Cam Melton______________ CM:__1209_________ MA 223, Engineering Statistics Winter 2007-08; 15 points possible Due date: Friday , January 18 at the BEGINNING of class . You may work together on thinking through these problems, but what you turn in must be your own individual write up and work. Please show as much work as possible. It’s much easier to give partial credit when the work is all available. _________________________________________________________________________________________ 1. An individual driving onto the Rose-Hulman campus via the main entrance must make a decision; he/she must either turn left toward the dorms, turn right toward Myers and Moench Halls, or go straight into the roundabout in front of Hadley Hall. Let denote the event that a car turns left, denote the event that a car turns right, and denote the event that a car goes straight. The behaviour of three randomly selected cars driving onto the Rose-Hulman campus is recorded. (a) [0.5 pts] How many events comprise the sample space for this experiment? Three (b) [0.5 pts] Let denote the event that one of the three cars goes left toward the dorms, one goes right toward Myers Hall, and one goes straight to the Hadley Hall roundabout. List the set of outcomes that comprise the event . [L+R+S] (c) [1 pt] Assume that it is known from historical data that 50% of the cars entering campus turn left, 40% turn right, and 10% go straight. Use this information to find the probability that event occurs. .5 * .4 * .1 = .02 (d) [1 pt] Under the same assumptions as those made in part (c), what is the probability that all three randomly selected cars go the same way? ( .5 * .5 * .5) + (.4 * .4 * .4) + (.1 * .1 * .1) = .125 + .064 + .001 =
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HW 4 Completed - Homework Set #4 NAME:_Cam Melton_...

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