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- Could you explain how to do part (c) pleasearrow_forwardLet X have a uniform distribution on (0,2) and let Y be independent of X with a uniform distribution over (0,3). Determine the cumulative distribution function of S=X+Y. Please can you help me solve this question. Also, could you explain how you know at which intervals to split up the cases of the fucntion.arrow_forwardQ5: Solve the system x = A(t)x(t) where A = -3 0 0 03-2 0 1 1/arrow_forward
- Q3: Solve the system x = A(t)x(t) where A = 1 1 -2 2 1 -1 01 - -1. (10M)arrow_forward17. Suppose that X1, X2,..., Xn are random variables, such that E|xk| < ∞ for all k, and set Yn = max1arrow_forward6. Show that, for any random variable, X, and a > 0, L P(x < X ≤ x+a) dx = a. 2015arrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that (P(X ≤ x ≤ Y) - P(Y < x ≤ X))dx = E Y — E X.arrow_forwardCould you please solve this question by sketching a graph to find the region of integration and the bounds of the integralarrow_forwardTheorem: Xo is critical point of x° = F(x) iff F(x)=0arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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