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 0.1 Find [1] a) The value of a b) P(X 2) c) The mean, E(X) [2] [2]

Q: =2 = 3 = 4 = 5 6 7 8 00 Let X be a random variable with the following probability distribution.…

A: Step 1:a)The probability distribution of the random variable X is given. Step 2:Consider the…

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Q: ru+1.50/VR 1-1.20/VE()*dr.

A: As per bartleby guideline if more than one question asked, only first question to be answered.…

Q: Can you please help me calculate the expected value of x and the variance of x.

A: x p(x) x*p(x) x2*p(x) 0 0.0278 0 0 1 0.0833 0.0833 0.0833 2 0.1389 0.2778 0.5556 3 0.1944…

Q: What is the Discrete Variance for the following numbers? X P(X) 0.05 0.56 0.11 0.07 0.21 0 1 2 3 4

A:

Q: Q1. interest y Consider the following bivariate data of an independent variable x and dependent…

A: The given data is x y 0 3 0 2 1 1 1 0 2 0 3 -1 4 -2 6 -15

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

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Q: E(X2) is greater or equal to [ E(X)2] . Hint: Recall the definition of variance.

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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: 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

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Q: Column A 1. Population Mean Symbol 2. Population Variance formula 3. Standard Deviation of Ungrouped…

A: from the given data

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A: Solution: Let X be the discrete random variable  The probability density function of X is  x f(x)…

Q: Example 9.3: Let X1, X2, ..., Xn be a random sample from a population mean and variance o². Show…

A: Given information: X1,X2,...,Xn be a random sample from a population mean μand variance σ2.…