Question 1: Discrete random variables (35 Points) Let X be a discrete random variable with the following probability mas

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Question 1 Discrete Random Variables 35 Points Let X Be A Discrete Random Variable With The Following Probability Mas 1 (134.14 KiB) Viewed 69 times

Question 1: Discrete random variables (35 Points) Let X be a discrete random variable with the following probability mass function: D1 x = 1 D1 + D2 + D3 + D4 + D5 D2 D1 + D2 + D3 + D4 + D5 x = 2 x= 3 DI=4 D2=0 D3= 3 D4=2 D5= 1 D3 p(x) = { 01 + D2 + D3 + D4 + D5 ᎠᏎ D1 + D2 + D3 + D4 + D5 D5 D1 + D2 + D3 + D4 + D5 x = 4 x = 5 0 otherwise a) Is the random variable X a Bernoulli random variable? Explain your answer. (5 points) b) Find the probability P(X 3). [10 points) c) Find the probability P(x > 3) by using the axioms of probability. [10 points) d) Find the probability P(0 < X < 4) [10 points)