Q2- Consider the following formula: x -1 P(X = x) = x = 2,3,4,5,6 15 Is a probability mass function? If so, show the distribution of X in tabular form and find the CDF of X? What is P(X < 3), P(X = 11), P(X > 6), P(X < 6)?
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- ques 19 3/3Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1Given below is the probability generating function (PGF) for y=1,2,3, P(t) =0.35t +0.44r +0.12r Is this a valid PGF? Valid-TRUE Non Valid -FALSESuppose Y - Uniform(01, 02) where the parameters and 02 take the values 1 and 5 respectively. Compute the probability P(Y < y) when y=4.71.Plzzz explainQ1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1Q3: Suppose the joint probability function of X and Y is given by x= 5, y = 0 7 x= 5, y = 3 7 x = 5, y = 4 P (x,y)- *= 8, y = 0 7 x= 8, y = 4 else Compute E(X|Y-0), E(X|Y 4), E(X|Y=3)O1: Let x be random variable with the following (p.d.f): SC e-* x20 f (x) = 0.W Find: 1. The constant C? 2. The c.d.f? 3. P(1The probability distribution function of a random variable X is 4. P(X =x)=Dk for x=0,1, 2,3,4 where k is a constant. Determine (a) the value of k. Hence, find P(0The cumulative distribution function for a random variable X is given by: (1-e for x20 F(x)=- otherwise Compute P (X >2). Select one: a. e4 O b. e-4 О с. -2 С. e O d. 2Find the value of the function X The following is if the function is a probability mass pmf. Given p(x) = x = 0,1,2,3 10 for ث إضافة ملفRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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