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PT2 - Practice for Test 2 1 A certain children's game uses...

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Practice for Test 2 1. A certain children’s game uses a spinner instead of a die to determine movement. The spinner is shown below. Find the probability distribution for the outcome of this device, where the outcome is a single spin. X P(x) 1 1/2 2 1/6 3 1/6 4 1/6 2. Feeling bored Helen decided to build a catapult with Popsicle sticks. Using juice glasses, which she placed at different distances for targets she proceeded to launch 1000 pinto beans. She then recorded the number of beans in each glass scoring it as worth the same number of points as the label on the glass or 0 (missed all of the glasses). The results below show the count in each of the 6 categories. Use this information to record the mean and standard deviation for the points on a single launch. X n(x) P(x) xP(x) x 2 P(x) 0 591 0.59 1 0.00 0 0.000 1 133 0.13 3 0.13 3 0.133 2 114 0.11 4 0.22 8 0.456 3 101 0.10 1 0.30 3 0.909 4 35 0.03 5 0.14 0 0.560 5 26 0.02 6 0.13 0 0.650 sum 0.93 4 2.708 μ = 0.934, σ = 1.355 3. An autonomous rover for planetary exploration was being tested with the following instruction set. Obtain a sample of weight, X, remove from it a portion of weight, Y, for a destructive test. Place the remainder in a bin to be returned to
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Earth. If
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