1. The probabslity density function for x io given below. I y-x', determine the probability that...
log survivors (Tomato) log survivors radish log mass per plant radish log mass per plant tomato 0.3 0.3 -0.88 -0.79 0 0.3 -0.46 -1.78 1.04 0.9 -0.73 -1.21 0.85 1 -0.73 -1.51 1.28 1.38 -0.63 -1.25 1.69 1.61 -0.75 -1.09 0.48 0.48 -0.49 -0.99 1.04 1.11 -0.55 -1.16 1.32 1.11 -0.58 -1.19 1.32 1.38 -0.66 -1.08 1.69 1.28 -0.6 -1.09 1.62 1.56 -0.74 -1.17 0.48 1.66 -0.7 -1 1.04 0.48 -0.33 -1.11 1 1.08 -0.57 -1.11 1.32 1.26 -0.63 -1.12...
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
The probability density function of a continuous random variable X is given as shown. I f(x) a) (7.5 pts) Find the value of the constant k as a fraction. b) (7.5 pts) Find the probability P(1sx53). c) (5 pts) Find the value of x such that P(Xsx)=0.5.
7. A probability density function (PDF) is given by: f(x)-21x3 for x>a What value of 'a' will make this a PDF? 8. A probability density function (PDF) is given by: f(x) k(8x-x2) for 0<x<8 What value of 'k' will make this a PDF? 9. A probability density function (PDF) is given by: f(x)-e.(x4) for x> a What value of a will make this a PDF? 10. A probability density function (PDF) is given by: f(x)-15x2 for-a<x<a What value of a...
PLEASE ANSWER ALL QUESTIONS ! 1. The following sample observations were randomly selected: X Y 10 4 5 6 6 5 4 7 3 7 What is the coefficient of correlation? Select one: a. 0.90 b. -0.46 c. -0.95 d. 0.82 2. The regression output from Excel indicates that the Significance F is 0.001. Does that mean there is a significant relationship? Select one: a. Yes, because it is small. b. Yes, because it is large. c. No, because it...
4. The random variables X and Y have joint probability density function fx.y(r, y) given by: else (a) Find c (b) Find fx (r) and fr (u), the marginal probability density functions of X and Y, respectively (c) Find fxjy (rly), the conditional probability density function of X given Y. For your limits (which you should not forget!), put y between constant bounds and then give the limits for r in terms of y. (d) Are X and Y independent?...
4. The random variables X and Y have joint probability density function fx,y(x, ) given by: fx,y(x, y) 0, else (a) Find c. (b) Find fx(x) and fy (), the marginal probability density functions of X and Y, respectively (c) Find fxjy (xly), the conditional probability density function of X given Y. For your limits (which you should not forget!), put y between constant bounds and then give the limits for in terms of y. (d) Are X and Y...
2. Let X and Y be continuous random variables with joint probability density function fx,y(x,y) 0, otherwise (a) Compute the value of k that will make f(x, y) a legitimate joint probability density function. Use f(x.y) with that value of k as the joint probability density function of X, Y in parts (b),(c).(d),(e (b) Find the probability density functions of X and Y. (c) Find the expected values of X, Y and XY (d) Compute the covariance Cov(X,Y) of X...
Q.4 (22') Suppose the joint probability density function of X and Y is fx,y(x, y) = { „) - k(2 - x + y)x 0 sxs 1,0 sys1 o otherwise (a) (7”) Show that the value of constant k = 12 (b) (7') Find the marginal density function of X, i.e., fx(x). (c) (8') Find the conditional probability density of X given Y=y, i.e., fxy(xly). 11
(1 point) The joint probability density function of X and Y is given by f(x, y) = cx – 16 c”, - <x< 0 < b < co alt 0 < y < 0 Find c and the expected value of X: c = E(X) =