Problems. 1. The discrete random variable X has the following PMF: for x 0, 1,2,

Question

Problems. 1. The discrete random variable X has the following PMF: for x 0, 1,2,3,4,5,6,7,8,9,10 0 otherwise a) (10 points) Find the value of the constant K b) (5 points) Using MATLAB, plot the PMF. (Hint: use the MATLAB function "stem" to plot the PMF.) You must label all axes c) (10 points) Using MATLAB, plot the CDF F(x) for x 0,12, , 12, (Hint: use the MATLAB function "cumsum" to convert the PMF vector to CDF vector. Then use the "stairs" function to plot it.) d) (5 points) Find P(X-4) e) (10 points) Find P(X

Explanation / Answer

Q2 )

range = maximum - minimum = 4 - 0 = 4

b)

P(x = 0) = 0.1

P(x = 1) = 0.4 -0.1 = 0.3

P(X = 2) = 0.6 - 0.4 = 0.2

P(X = 3) = 0.8 -0.6 = 0.2

P(x = 4) = 1 - 0.8 = 0.2

Please post Q1 again

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