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PLEASE MAKE YOUR HAND WRITING CLEAR AND READABLE . THANK YOU! O Let X and Y be independent random variables with a discrete uniform distribution, i.e., with probability mass functions for k = 1, px(k) = py (k) =-, N. Use the addition rule for discrete random variables on page 152 to determine the probability mass function of Z -X+Y for the following two cases. a. Suppose N = 6, so that X and Y represent two throws with a...
Could someone please solve this problem? Please write clearly. Thank you. I will give a good review. Suppose X, Y are independent with X N(0,1) and Y ~N(0, 1). Show that the distribu- tion of Q-Ë ) T. Hint: Let Q and V-Y. Find the joint pdf of Q and V and finally find the marginal pdf of Q by integrating the joint pdf of Q and V w.r.t. V: f(a v)dv2J (,v)dv. follows the Cauchy distribution, î.е., J (g
please clear hand writing and show all the work thanks in advance Problem 3: Terminal velocity A hailstone of mass m = 6 x 10-4 kg falls under the effect of gravity. It also experiences a drag force of magnitude FD = nu?, where v is the hailstone's velocity and the coefficient 7 for the particular hailstone under consideration is equal to n= 3 x 10-5 kg/m. (a) Calculate the terminal velocity of the hailstone. (b) If the hailstone falls...
Please have a clear hand writing :) Question Question 9 (2 marks) Special Attempt 1 y(0) 3. Consider the initial value problem: l Using Euler's method: yn+1ynthy n+1tn+h, with step-size h 0.05, obtain an approximate solution to the initial value problem at x- 0.1 Maintain at least eight decimal digit accuracy throughout all calculations You may express your answer as a five decimal digit number; for example 6.27181. YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE Estimate at x0.1...
Could you please provide a clear and detailed worked solution for the following problem. Please only answer if you have clear and easy to read hand writing. I will leave some feedback that matches the quality of your answer. Thank you The line density of electnc charge is given by the formula 9(x,y.즈)= yxs/729c/m. Calculote the total electric charge R of a wire wholh shope is dlescribed parametncally n 3D space as: x- 3 cos t , y-3 sin t...
Just Question 2 please I need a full and correct answer for this question by clear hand Writing water a) Without calculation, but referring to the appropriate dissociation constants, carefully sketch a single variable species distribution diagram (versus pH) for this acid in water (b) Calculate accurately the concentration of all the sulphite species at pH 7.0. Set up a spreadsheet calculation to examine the acid-base speciation of arsenate over the pH range 0 to 14. What is the %...
Please have a clear hand writing :) Question Question 9 (2 marks) Special Attempt 1 y(0) 3. Consider the initial value problem: l Using Euler's method: yn+1ynthy n+1tn+h, with step-size h 0.05, obtain an approximate solution to the initial value problem at x- 0.1 Maintain at least eight decimal digit accuracy throughout all calculations You may express your answer as a five decimal digit number; for example 6.27181. YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE Estimate at x0.1...
Please have a clear hand writing :) Question Question 12 (3 marks) Special Attempt 1 A system of two first order differential equations can be written as A second order explicit Runge-Kutta scheme for the system of two first order equations is n+l Vn +12 Consider the following second order differential equation 4 d9-' with y(1)-4 and y'(1)-1 a.n Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x = 1.4, if the...