Answer:
Given f(x) = x/2
= x2/4 |10.5 =0.1875
QUESTION 3 Suppose that the density (pdf) function for a random variable X is given by...
PLEASE SOLVE FULLY WITH NEAT HANDWRITING AND EXPRESS FINAL ANSWER WITH BOXES!! Suppose that the density (pdf) function for a random variable X is given by fx)or 0s x s2 and fx) 0 otherwise. What is Suppose that the density (pdf) function for a random variable X is given by f(x)--for 0 SX 2 and f(x)-0 otherwise, what is the probability P(0.5 1)? Round your answer to four decimal places. X Suppose that the density (pdf) function for a random...
PLEASE SOLVE FULLY WITH NEAT HANDWRITING AND STATE THE FINAL ANSWER IN A BOX!!!!! Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four decimal places. 2 and f(x)-0 otherwise. What is Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four...
2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given by f(x) - 3x2; 0< x < 1, - 0; otherwise Find the cumulative distribution function (i.e., cdf) of Y = X3 first and then use it to find the pdf of Y, E(Y) and V(Y)
Question # A.4 (a) Given that probability density function (pdf of a random variable (RV), x is as follows: Px(x)-axexp(-ax) x 20 otherwise where α is a constant. Suppose y = log(x) and y is monotonic in the given range of X. Determine: (i) pdf of y; (ii) valid range of y; and, (iii) expected value of y. Answer hint:J exp(y) (b) Given that, the pdf, namely, fx(x) of a RV, x is uniformly distributed in the range (-t/2, +...
Question 3 Suppose that the random variable X has the following prob- ability density function. f(x) =1- for 1 € (0,2), and zero otherwise. a) Plot the graph of the pdf of x. b) Is it true that Pr[X <0] = 0.5? c) Is it true that Pr[X < 1] = 1? d) Is it true that E[X] < 0.5? e) Is it true that Prix < 0.5) > 0.5? f) Find the CDF of x. Compare the graph of...
For a continuous random variable X with the following probability density function (PDF): fX(x) = ( 0.25 if 0 ≤ x ≤ 4, 0 otherwise. (a) Sketch-out the function and confirm it’s a valid PDF. (5 points) (b) Find the CDF of X and sketch it out. (5 points) (c) Find P [ 0.5 < X ≤ 1.5 ]. (5 points)
Suppose X and Y are random variables with joint density function. So.1e-(0.5x +0.27) if x 20, y = 0 f(x, y) otherwise = {0.1 (a) Is f a joint density function? Yes O No (b) Find P(Y > 5). (Round your answer to four decimal places.) 0.5488 x Find P(XS 3, Y = 6). (Round your answer to four decimal places.) 0.4492 x (c) Find the expected value of X. 0.8 x Find the expected value of Y. x 0.5
Suppose the random variable X has probability density function (pdf) - { -1 < x<1 otherwise C fx (x) C0 : where c is a constant. (a) Show that c = 1/7; (b) Graph fx (х); (c) Given that all of the moments exist, why are all the odd moments of X zero? (d) What is the median of the distribution of X? (e) Find E (X2) and hence var X; (f) Let X1, fx (x) What is the limiting...
4B-03] Suppose that we are given the random variable X with pdf f(x) = 1-x/2 for 0<x<2, and 0 otherwise. Obtain P(X1). (Round to 2 decimals) Your Answer: Answer
4. The random variable X has probability density function f(x) given by f(x) = { k(2- T L k(2 - x) if 0 sxs 2 0 otherwise Determine i. the value of k. ii. P(0.7 sX s 1.2) iii. the 90th percentile of X.