6 X and Y are two discrete random variables with the following PMF. IN IN IA. a. | Find the marginal pmf's for X and Y. b. Draw the joint CD c. Calculate the probability of the events: A-(X>0), B (xeY), and C-X Y for the 3 pt 3 pt. indicated PMF t. Are X, Y independent? Prove. 2 pt. t.
How to get the cdf when y>x>0? Thanks 6. The joint probability density function (pdf) of (X, Y) is given by 0y<oo, elsewhere. fxr, y) (a) Find the cumulative distribution function of (X, Y) (b) Evaluate P(Y < X2) (c) Derive the pdf of X and then compute the mean and variance of X (d) Find the pdf of Y and compute the mean and variance of Y (e) Calculate the conditional pdf of Y given X (f) Compute the...
A) Find x-component of vector d⃗ =(100 m , 44 ∘ below + x-axis). B) Find y-component of vector d⃗ =(100 m , 44 ∘ below + x-axis). C) Find x-component of vector v⃗ =(310 m/s , 27 ∘ above + x-axis). D) Find y-component of vector v⃗ =(310 m/s , 27 ∘ above + x-axis). E) Find x-component of vector a⃗ =(5.0 m/s2 , - y-direction). F) Find y-component of vector a⃗ =(5.0 m/s2 , - y-direction). Please expain...
Problem #30: Consider the following boundary value problem, [4 marks] x?y" + 21xy' + (100 + 2)y = 0, y(t) = 0, ye?) = 0 (a) Find the eigenvalues. (b) Find the eigenfunctions. Take the arbitrary constant (either or c) from the general solution to be 1.
Point X Y A 50 100 B 60 130 C 70 160 D 80 190 Refer to Exhibit 1-2. Based on the data provided in this table, if these data were plotted in a two-variable diagram the result would be ______________ sloping ____________________. A.an upward; (straight) line B.a downward; (nonlinear) curve C.none of the above D.a downward; (straight) line E.an upward; (nonlinear) curve
Please do all t Which system of equations is DATE x-y -2 B y-3 6. Whic system of inequalities is graphed? S-x+1 2-1 ye-x+1 ys-1 7. Which system of equations is graphed? AxtyS x-2y- 2 Bxty-s x+2y-2 x+2y- 2 8. Which system of inequalities is graphed? x+3y 6 G2x +y22 x-3y <6 x+3ys6 At a university, 1200 students are enrolled in engineering. There are twice as many in electrical engineering as mechanical engineering, and three times as many in chemical...
6. Given a finite set A, denote IA] as a nurnber of elements in A. Let f : X → Y be a function with |XI, Yl< oo, i.e. X, Y are finite sets. Prove the following statements a) IXIS IYİ if f is injective. b) IY1S 1X1 if f is surjective. 6. Given a finite set A, denote IA] as a nurnber of elements in A. Let f : X → Y be a function with |XI, Yl
6. A consumer with an income of $100 faces a situation where both good x and good y have the same price and are available in continuous quantities. In this situation, the person chooses 20 units of good x and 30 units of good y. Which of the following must be true? 1. There is something wrong because (20, 30) must be inside the budge line II. The MRS at (20,30) is 2/3 III. The consumer prefers (20, 30) to...
10r y Which ofthe flywing is equivalent 1T77 ? 2x A. 9. B. 2y 2x 3r -9x + 18 10 Which of the following is equivalent to the fraction 6-x x2-25 When is divided by , the quotient is x +5 9x A. 27x B. 3r-15 x-20 C. 12. Which ofthe following is equivalent to-li A. B.一 D. 13. Which equation represents a line that is perpendicular to the line represented by 2x-y 77 B. y=-x+6 C. y=-2x + 6...