Let X be a random variable with density function given by f(x)
={ 3 2x2, −1 ≤ x ≤ 1; 0, otherwise Find the density function Y =
X2.
Let X be a random variable with density function given by f(x) ={ 3 2x2, −1...
Let X be a random variable with a density function given by 2 NI W x – 1 < x < 1 f(x) = 6e elsewhere a) Find the density function of Y = 3 – X. b) Find the density function of Y = X2.
1. Let X be a continuous random variable with probability density function f(x) = { if x > 2 otherwise 0 Check that f(-x) is indeed a probability density function. Find P(X > 5) and E[X]. 2. Let X be a continuous random variable with probability density function f(x) = = { SE otherwise where c is a constant. Find c, and E[X].
7. Let X be a random variable with density f(x) = 2/32 for 1<x<2, f(x) = 0 otherwise. Find the density of x2
Let X be a continuous random variable with the following probability density function f 0 < x < 1 otherwise 0 Let Y = 10 X: (give answer to two places past decimal) 1. Find the median (50th percentile) of Y. Submit an answer Tries 0/99 2. Compute p (Y' <1). Submit an answer Tries 0/99 3. Compute E (X). 0.60 Submit an answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous attempts...
give the answer in detail
9. Let X be a continuous random variable with probability density function given by 0 otherwise Find the probability density function of Y X2 +3
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,...
Let X be a random variable with probability density function
a) Find the mean of X
b) Find the standard deviation of X round to four
decimal places.
c) Let G = X2 Find the probability
density function fG of G
Show work for each part plz
f(x) = { 1 x (3-X) it osx=2 Co otherwise
3. Let X be a continuous random variable with probability density function ax2 + bx f(0) = -{ { for 0 < x <1 otherwise 0 where a and b are constants. If E(X) = 0.75, find a, b, and Var(X). 4. Show that an exponential random variable is memoryless. That is, if X is exponential with parameter > 0, then P(X > s+t | X > s) = P(X > t) for s,t> 0 Hint: see example 5.1 in...
Suppose a random variable X has the following density function: f(x) = { x , 0 ≤ x < 4, 0, o.w. Let Y = 1 − sqrt(2−X2)/2. Find the density function for Y .
let x be a continuous random variable with density function f(x) = 0.4|x-1|, 0<=x<=3 and 0 otherwise. compute E(x)