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- (d) X = the length of a randomly selected rattlesnake Describe the set of possible values for the variable. О0, 1, 2, 3, ... O [0, 0) O (0, 0) О 1, 2, 3, ... State whether the variable is discrete. O discrete O not discrete (e) Z = the sales tax percentage for a randomly selected amazon.com purchase, where n = the total number of possible sales tax percentages for online purchases Describe the set of possible values for the variable. O [0, z,] O z, Z2, Z31 ..., Zn О 1, 2, 3, ..., п O [0, n] State whether the variable is discrete. O discrete O not discrete (f) Y = the pH of a randomly chosen soil sample Describe the set of possible values for the variable. О 1, 2, 3, ..., 14 О (0, 14] O [0, 14] О0, 1, 2, 3, ., 14 State whether the variable is discrete. O discrete O not discrete29.-2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the interval [-3,7]. Suppose also, that each share of the stock costs $1.50. Let Y be the net return (total return minus cost) on an investment of 10 shares of the stocks. Compute E(Y).
- Let f(x, y) = x + y for 0 < x < 1 and 0 < y < 1 The Conditional Variance of Y when X = ; isSolve: Let X ∼ Exp(λ), Y ∼ Exp(λ), and U ∼ Unif (0, 1). Find the distribution of U (X + Y ). Please don't handwriting solutionLet X1,...,Xn be a random sample from the distribution f(x) = 2x, 0 < x < 1. Find the distribution of the sample maximum X(n)
- 2. Let ₁ and 2 be measurements of ₁ = tail length and 2 = wing length (both in mm) from Hook-billed kites. Suppose that it is known 120 125 X = (X₁, X₂)' ~ N₂ ((285) (125 What is the distribution of wing lengths for those birds that have tail lengths of 190 mm? 22205)). 125 210,If the random variable X follows the uniform distribution U= (0,1) What is the distribution of the random variable Y= -2lnX. Show its limits.Let X,,X,.,X, follows i.i.d. exponential distribution with mean 10, then find the distribution of X, +X, +...+ X10 - a) X,+ X, +...+X ~ Gamma(10,10) X,+ X, +...+ X10 ~ Exp(10) X,+ X, +...+ X10 ~ N(0,10) b) c) d) х, + X, +...+ Х, ~Gamma (10,1/10)
