2. Suppose that the p.d.f. of a random variable X is given as in last question....
1. Suppose that the p.d.f. of a random variable X is as follows: for 0<x<2, for 0 〈 x 〈 2. r for 0<< f(x) = 0 otherwise. Let Y - X (2 - X). First determine the c.d.f. of Y, then find its p.d.f. (Hint: when computing c.d.f., plotting the function Y- X(2 - X) which may help. )
Let random variable x be a continiuos random variable and it's p.d.f is given as f(x)=3x^2, 0<x<1 Find the probobility that random variable X exceeds the value of 1/2
5. Suppose that the probability distribution function (p.d.f.) of a random variable X is as follows: a-x3) for 0<x<1 o/w Sketch this p.d.f. and determine the values of the following probabilities: f(x) =
QUESTION 12 Let the random variable X and Y have the joint p.d.f. f(x,y) =(zy for 0< <2, 0 < y <2, and z<y otherwise Find P(0KY <1) 16 QUESTION 13 R eter to question 12. Find P(o < x <3I Y-1).
QUESTION 9 Let the random variable X and Y have the joint p.d.f. f(x,y) for the (x,y) pairs as shown in the following table (for x = 0,1,2 and y = 0.1). y/X 0 1 2 0 1 14 6 | 18 18 1133 18 18 Find the covariance oxy O-57/324 O-58/324 57/324 58/324
The random variable x has a p.d.f. given by: f(zfor 0 2 Find the UPPER quartile, Q3 O 0.5 O 0.375 0.75 1.5 Given the following joint probability distribution of X and Y 10.0450.08l10.1 Then X + Y takes on values 2,3,4,5, and 6. Build the probability distribution for Z = X + Y by matching the appropriate probability to each value of Z. 1. 0.16 2. 0.215 3. 0.27 4. 0.045 5. 0.315
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)
3.22 The p.d.f of the random variable Xis given by f(x) = c\sqrtx for 0<x<4, and 0 elsewhere. Find the value of c and P(X<1\4) and P(X>1)
7.695 points Save Answer QUESTION 4 Let the random variable X and Y have the joint p.d.f. for 0 < x < 1, 0 < y < 1, and 0 < x +y < 1 | 24cy f(x, y) = { lo otherwise Find E[X].
help solve Question 9. Given the c.d.f of a continuous random variable X as: 0 if x < 0 Fx(x)= x3 if 0 sxs1 1 otherwise Write down the p.d.f of X.