A discrete random variable has the p.mf f(x) = ax x=1, 3, 5 O A. 0.11 O B. 9 OC. 4.5 O D. 5

Q: 12 Let X be a random variable with mgf(t) = 0.6e' + 0.3e2t + 0.1e3t Find E(X) For the instructor,…

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Q: Consider a discrete random variable X with a pmf given by i) ii) iv) p(x) = cx2, if x = 1,2,3,4 0,…

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Q: Suppose that X is a random variable which takes only two values: -2 and +2, and that Y = aX + b…

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Q: Suppose X is a random variable with PMF given by the following table: x = 1, 2, 3, 4

A: Given that

Q: 7. Let random variable X = # of sixes on two independent rolls of a die. Fill in the chart below…

A: Part 7: The number of sixes on two independent rolls of die are 0, 1 and 2. Thus, X takes value 0, 1…

Q: Suppose that X and Y are discrete random variables taking the values 1 and 2. Suppose further that…

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Q: Section I 1. Consider a discrete random variable X with pmf summarized in the table below. -3 4.…

A: 1. The given probability mass function table is, x -3 2 4 fx 0.45 0.3 0.25

Q: Suppose X2 is N(μ, X) where T3 -[-]--- Σ 4 -3 0 -36 0 05 Which one of the following random variables…

A: In this problem all X, mu, Sigma are given. We need to find out which of the following random…

Q: Let X be a discrete random variable with the following PMF: for x = 0 Px(x) = = 12 L3 L6 for x = 1…

A: Step 1:The probability mass function is given asx012P(x)1/21/31/6The range of the given PMF would be…

Q: Let w₁, W2, ..., wt be independent random variables from a normal distribution with mean 0 and…

A: Let w1, w2, ..., wt be independent random variables from a normal distribution with mean 0 and…

Q: 5.6.1 X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) =…

A: E(X)=2, V(X)=5, E(Y)=6, V(Y)=8X and Y are independent then Cov(X,Y)=0Note: According to bartelby…

Q: Suppose U = 2T - 1 where T is a geometric random variable with parameter p. What is Var(U)?

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Q: Suppose that random variable X is uniform on ​[a, b]. If P( X > 5 ) = 5/6 and P (X > 11) = 1/2, find…

A: From the provided information, X is uniform on ​[a, b]. P (X > 5) = 5/6 and P (X > 11) = 1/2

Q: #7-9: The number of minutes that people spend with their dog at a dog park has u = 48.5 minutes and…

A: 7) Let x¯ be the mean number of minutes that people spend with their dog at a dog park. The mean and…

Q: В - -3, -2, -1,0, 1, 2, 3 Px(x) = 10 d.y It is defined as a) a =? b) E[X]=? c)Z = (X - E [X])? If…

A: According to the answering guidelines,  we can answer only three subparts of a question and the rest…

Q: 3. Let X and Y be two Binary random variables with joint probability distribution: x = 0 x = 1 0.2…

A: The joint probability density function is given as- fx,y x=0 x=1 y=0 0.2 0.4 y=1 0.1 0.3

Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…

Q: Let X1 and X2 be independent and identical normal random variables with common mean 3 and standard…

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Q: What is the correlation of X and Y

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