4. The probability function of a d.a.d. X is: img. The expected value of X is E(X)= ? The variance of X is V(X)= ?

Q: For the random variable X defined by the probability function below, answer the following questions.…

A: Given: x 2 3 4 5 6 7 f(x) 0.25 0.15 0.10 0.15 0.10 0.25

Q: Let X be a random variable with mean E[X] = 20 and variance Var(X)= 3. Define Y = 3 - 6X. Calculate…

A: We have given that, Let X be a random variable with mean E[X] = 20 and variance Var[X] = 3   We know…

Q: A random variable Y has a uniform distribution over the interval (?1, ?2). Derive the variance of Y.…

A:

Q: If the variance of a Poisson variate is 3. Find the probability that, ne (1) x= 0 (ii) 1sx<4 ca eor…

A: Given that, The variance of a Poisson variate is 3

Q: Let X and Y be independent random variables with means ux, μy and variances o, oy. Find an…

A: Given:  Random variable x and y are independent with means ux, uy  , varience σ2(x) and σ2(y)  E(x)=…

Q: For the continuous probability function f(x) = 2kx? e-* when x 2 0. Find a. value of k %3D b. mean

A:

Q: Let the r.v. X assume the value 'r' with the probability law : P(X = r) = q-¹ p ; r = 1, 2, 3. Find…

A: The probability mass function of X is given as-

Q: Let E(X|Y = y) = 3y and var (X|Y = y) = 2, and let Y have the p. d. f. fv) = {e if y > 0 0 otherwise…

A: Given,  E[X|Y=y] = 3yVar[X|Y=y] = 2 Find var(X) as follows Var(X) = Var(E[X|Y])…

Q: Show that E [ X – m]³ = E(X)³ – 3m, o- m and o? are the mean and %3D where variance of X…

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Q: Find the probability distribution of (X+Y) given the bivariate distribution of (X,Y). X\Y 12 1 2 0.1…

A:

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

A:

Q: Let X have a mean of 132 and a variance of 32. Define Y=X² + 2X+1. Compute the (a) mean and (b)…

A:

Q: te random variable. Let E(X)=10 and Var(X)=5. Since Y = x2 + 3X, What is E(Y)=?

A:

Q: Suppose that X and Y have the following joint probability distribution: Joint Probability Table…

A: a)   P(X=4)=0.15+0.3+0.1=0.55

Q: A random number X has the following probability distribution: x P(X=x) 0 .2 1 .2 5 .1 10 .3 y .2…

A: Given Data: Expected value: E(X)=10 The expected value of the given distribution is,…

Q: 19. In Saint Tropez, the probability that it rains on a given day is 10%. Given that it rains, the…

A: f(x)=13×e−x3; x&gt;0

Q: Let X be a random variable with mean 6.1 and variance 2.4. Let Y be a random variable with mean 7.5…

A: We have given that, E(x)=5.1 , Var(X)=2.4 E(Y)=7.5 , Var(Y)=3.2 , Cov(x,y)=0.65

Q: The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors…

A: x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 X 6 0.220 7 0.136 8 0.055 9…

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

A: given dates  p ( cancer) = 0.03 n = 10 patients  q = 1=p = 1-0.003 = 0.997

Q: Two investments X and Y give these returns:  E(X) = 0.6 E(Y) = 0.5 V(X) = 1   V(Y) = 2 the…

A:

Q: c. find Var(X) or o? 2. The number of passengers in a car on a freeway has the following probability…

A:

Q: Let x = (X1, X .. Xy, ....., xm) be a data set with a sample mean Show that E-(x; – x) = 0.

A: Given : Let x = (x1 , x2 , -------, xi,-----,xn) be a data set with a sample mean x¯

Q: The variance of a discrete probability distribution can be calculated using the formula: H=Ex.p(x)…

A: We know that  E(x)= ∑X.p(x)E(x2 ) = ∑X2.p(x)Variance =?2 = E(x2 ) - [E(x)]2 Where μ= E(x)

Q: W= X+ 3Y Find the (c) correlations (d) correlation coefficient of V and W

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Q: Let Y be a random variable with the following probability distribution: p(y) = y/6 for y = 1; 2; 3…

A:

Q: Suppose the probability function for x is such that p(x=1)=0.3, p(x=2)=0.4 and p(x=3)=0.3. What is…

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Q: Let X∼Uniform(0,1) distribution. Find the PDF of Y= 3√X and derive the expected value and the…

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Q: We are interested in the function of X defined by X2. What is CDF of Y in terms of CDF of X? (Note,…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 6. Let the random variables X and Y have the joint p.m.f. F(x,y) = 32 x+y x = 1, 2, y = 1,2,3,4.…

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Q: For a random variable X E(X) = 1.27, E(X²) = 3.79 The variance of X is equal to Select one: O 2.52…

A: We have given that,  E(X) = 1.27 and E(X2) = 3.79 Then  We will find the variance of X  ?

Q: The random variable X takes value O with probability, and value 1 with the remaining probability.…

A: We have given information, The random variable X takes value 0 with probability 13, and 1 with…

Q: Let E(X|Y = y) = 3y and var(X|Y = y) = 2, and let Y have the p. d.f. se-y if y>0 fG) = {o 0…

A: Given information: The probability density function of Y is: f(y)=e-y  if y&gt;00      otherwise…