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- A product is classified according to the number of defects, it contains (X1) and the factory that produces it (X2),. The joint probability distribution is given by X/X2 2 0 1/8 1/16 I/16 1/16 3/16 1/8 3 1/8 1/4 (a) Find the marginal distribution of X1You can use one of the formulas.Suppose that X is a discrete random variable with the probability mass function given by: where i = 1,2,3 .8 36 a) Plot p(x) b) Compute and plot F(x) c) Compute (i) P (2.9999Suppose random variable Y represents a random number generator that can take any value between 1 and 11. Then the density curve of the outcomes has constant height between 1 and 11, and height of 0 elsewhere. What’s the height of the density curve between 1 and 11? What is the probability that Y<2? What is the probability that Y=2? Can Y=2 happen as an event for this random number generator? What is the probability that Y=0? Can Y=0 happen as an event for this random number generator?Let X be a random variable with a uniform distribution over the interval [-6,5]. Compute P(X > -0.4) (The answer should be a number rounded to five decimal places, don't use symbols such as % Compute Fx(-2.2). (The answer should be a number rounded to five decimal places, don't use symbols such asYou can use one of the formulas.