Given an x-mean of 13.8 and a y-mean of 3.1, calculate the crossproduct of x=15 and y=6.
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Given an x-mean of 13.8 and a y-mean of 3.1, calculate the crossproduct of x=15 and...
Calculate x from –PI to PI in steps of 0.1 (-3.1 to +3.1). calculate y=cos(x) for each value of x, calculate z=sin(x) for each value of x. calculate w=.4 cos(x) + .8 sin(x) Output results to a file "sines.txt", in 5 columns – the index, x, y, z and w (63 lines).
Calculate the i.) conditional probability density function of Y given X=10, ii.) conditional mean and variance of Y given X = 10 3 6 0 10 20 0.05 0.41 0.08 0.1 0.11 0.25 3 6 0 10 20 0.05 0.41 0.08 0.1 0.11 0.25
Given X =3, Y = 8 and Z = 15 Write java statements to calculate and print the result the following equation W = X + (Y + XZ)(Z/X + Y)X
The joint probability density function is f(x, y) for 17. Find the mean of X given Y = random variables X and Y fax, y) = f(xy *** Q<x<10<x<1 Elsewhere w 14. Random variables X and Y have a density function f(x, y). Find the indicated expected value f(x, y) = 6; (xy+y4) 0<x< 1,0<y<1 0 Elsewhere E(x2y) = 15. The means, standard deviations, and covariance for random variables X, Y, and Z are given below. Lex= 3, uy =...
QUESTION 3 (15) (3.1) For a certain beam of length 8m, the equation = {H(1-6). y(0) = "() and y(0) = y"(0) = 3 applies. Determine the unique solution using Laplace transforms and hence calculate the sag of the beam at r = 4m [9] (3.2) Solve the following differential equation using Laplace transforms, [6] ty" + (4t - 2)y' + (13t - 4)y = 0, y(0) = 0, y(0) = a
3.1 The relationship between the input x(t) and output y(t) of described by the indicated differential equation given below: a causal system is dx(t) dse)+540+6y(t) = x(t) +T Assuming that the initial conditions are zero and using the Laplace transform determine [5 Marks] 15 Marks the following: a- Transfer function H(s) of the system. b- Impulse response h(t) of the system. Y (s) X(s)
1-Calculate the pdf of y given that the pdf of x is given by pdf x 2- cketch of pdf iVen a random variable y- 5x of where x is another random variable. Calculate the p y given that the pdf of x is given by and drow pdf -X x20
Given that the correlation between X and Y is 0.84 Mean and standard deviation of X = 4.3 and 3.8 Mean and the standard deviation of Y = 2.7 and 5.6 Find the y-intercept for the line of best fit.
(1 point) Calculate the Riemann sum for f(x, y) = 3.1 - 6y and domain D in Figure 2 with two choices of sample points, and o. Which do you think is a better approximation to the integral of f over D? Why? 4 o 3 O o O! Oo o o o 0 1 FIGURE 2 $34) $34) = 0
4) (15 pts) Given f(x) = -3xº + 5x3 + 3x + V5, calculate f'(x). 5) (15 pts) Given g(x) = 5x3 +67x + m - 2e*, calculate g'(x). 6) (15 pts) Given h(x) = (3x2 + 5e*)(6x4 + 3Vx), calculate h'(x).