Find the expected value of the probability density function to the nearest hundredth. х 1 f(x)...
Find the expected value of the probability density function to the nearest hundredth. 1 f(x) = 3; [3, 6) O A. 4.17 B. 4.50 O C. 4.00 OD. 5.00
Find the expected value of the probability density function to the nearest hundredth. f(x) = 3: 13,6 O A. 4.17 OB. 4.50 O C. 4.00 OD. 5.00
7. For the probability density function f(x) = for 0 <<<2 (a) Find P(x < 1) (b) Find the expected value. (c) Find the variance.
Question 1(a&b) Question 3 (a,b,c,d) QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
х 1 A probability density function of a random variable is given by f(x) = standard deviation. wi- on the interval (1, 3). Find the expected value, the variance, and the 2 The expected value is u (Round to two decimal places as needed.) The variance is Var(x). (Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.) The standard deviation is on (Round...
Find the expected value for the random variable x whose probability function graph is displayed here. What is the expected value of the random variable? Find the expected value for the random variable x whose probability function graph is displayed here. ULL 0 1 2 3 4 5 What is the expected value of the random variable? (Round to the nearest hundredth as needed.)
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...
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and f(x) = 0 elsewhere. a. Find the constant k and Find the c.d.f. of X. b. Find the expected value and the variance of X. Are both well defined? c. Suppose you are required to generate a random variable X with the probability density function f(x). You have available to you a computer program that will generate a random variable U having a U[0,...
(1 point) Scale the functions to convert them into probability density functions. Then find the expected value of a random variable with those densities. If not possible, type dne. (a) f(x) = Te-7* 0 >0, otherwise multiplier to convert f(x) into a probability density function: expected value of a random variable with this density: (b) f(x) 9 sin(2) 0< x <, otherwise 0 multiplier to convert f(x) into a probability density function: expected value of a random variable with this...
6) If the probability density function of a continuous random variable X is f(x) =x/8 when 3<x < 5, f(x)=0 otherwise a) Find the expected value of this distribution. b) Find the variance of this distribution. c) Find the 25th percentile of this distribution.