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Calculate the parameters of your individual assessment: write the digits in the following table (D1 to D5): For example, if your AUM student ID

 

Calculate the parameters of your individual assessment: write the digits in the following table (D1 to D5): For example, if your AUM student ID is 34106, then D1-3, D2-4, D3=1, D4-0, D5=6. Use only the numerical value of D1, D2, D3, D4, D5, whenever asked in your assessment. D1 D2 D3 D4 D5 5 0 7 4 4 Question 1: Discrete random variables (35 Points) Let X' be a discrete random variable with the following probability mass function: D1 D1 + D2 + D3 + D4 + D5 D2 D1 + D2 + D3 + D4 + D5 D3 p(x) = D1 + D2 + D3 + D4 + D5 D4 D1 + D2 + D3 + D4 + D5 D5 D1 + D2 + D3 + D4 + D5 0 b) Find the probability P(X 3). x=1 x=2 d) Find the probability P(0 < X < 4) x=3 x=4 x = 5 a) Is the random variable X a Bernoulli random variable? Explain your answer. otherwise c) Find the probability P(X23) by using the axioms of probability.

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