1. Suppose a Random Variable (RV) is defined by the product of the numeric outco
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Question
1. Suppose a Random Variable (RV) is defined by the product of the numeric outcome of two 4-sided dice like that shown. a. Plot the probability density function (pdf for this RV b. Plot the cumulative distribution function (cdf) for this RV. 2. A Random Experiment (RE) is given by the spinner shown at the right. a. Define a RV for this RE. b. For the RV you defined, plot the pdf and cdf. 3. A RE is given by throwing a dart randomly at a circle as shown where the dart always hits the circle. Assume that the dart position in the circle is equally like to land anywhere. The RE outcome is defined to be the distance of the dart position to the origin, shown by the dot. a. Find the cdf for this RV and plot it. b. Find the pdf for this RV and plot it. 4. For each pdf shown, write an expression for the pdf and find the value for A fxtx) A/2 5. A Gaussian RV is given by fy(x) = what are the parameters for m and ?Explanation / Answer
(1,1) = 1
(1,2), (2,1) = 2
(1,3),(3,1) = 3
(1,4), (4,1), (2,2) = 4
(2,3), (3,2) = 6
(2,4),(4,2) = 8
(3,3) = 9
(3,4),(4,3) = 12
(4,4) = 16
X PDF CDF 1 1/16 1/16 2 2/16 3/16 3 2/16 5/16 4 3/16 8/16 6 2/16 10/16 8 2/16 12/16 9 1/16 13/16 12 2/16 15/16 16 1/16 16/16Related Questions
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