Consider the function f(x) = 1/6 for 0 ≤ x ≤ 9. Find P(1.5<x<6.25).
X is a continuous random variable with pdf f(x)
Then P(X<=x) =f(x).
dx integrate from negative infinity to postive infinity
Solution file is attached go through it Thanks
Find the quantile function F^(-1)(p) (if one exists) of F(x) = {0 for x<= 0, (1/9)x^2 for 0<x<=3, 1 for x>3. For this, set the CDF equal to p and solve for x. This x is then F^(-1)(p).
(6 pts) Consider the joint density function f(x, y) = { (9- 2- y), 0<r<3, 3 Sy <6, 0, otherwise Find P(0 < < <1,4 <y<6).
For the indicated function, find the values f(-9), f(0), and f(4). x, if x < 0 f(x)= 8x + 6, if x 20 f(- 9) = f(0) = f(4) = State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x² - 4x - 6 The function has a value of Graph the case-defined function and give the domain and range x+2 xs2 f(x)= Choose the correct graph of the function below. OA...
1. Consider the function defined by 1- x2, 0< |x| < 1, f(x) 0, and f(r) f(x+4) (a) Sketch the graph of f(x) on the interval -6, 6] (b) Find the Fourier series representation of f(x). You must show how to evaluate any integrals that are needed 2. Consider the function 0 T/2, T/2, T/2 < T. f(x)= (a) Sketch the odd and even periodic extension of f(x) for -3r < x < 3m. (b) Find the Fourier cosine series...
Consider the function. f(x) = x (a) Find the inverse function of f. p-1(x) = 5V (b) Graph fand f-l on the same set of coordinate axes.
Consider the random variables X and Y with joint density function [5] f(x,y)=1/x , 0<y<x<1 i) Find P(X > 0 . 5 , y >0.5). ii) Find fX | y(x) and fY | x(y)..
Question l: Consider the function f(x) = sin(parcsinx),-1 < x < 1 and p E R (a) Calculate f(0) in terms of p. Simplify your answer completely fX) sin(p arcsinx) f(o) P The function fand its derivatives satisfy the equation where f(x) denotes the rth derivative of f(x) and f (b) Show thatf0(n2p2)f(m)(o) (x) is f(x). (nt2) (nti) (I-x) (nt 2 e 0 (c) For p E R-仕1, ±3), find the MacLaurin Series for f(x), up to and including the...
. A random variable X with P(X> 0) 1 has density function f(x) cx299e3. Find: with P(X >0) 1 has density function f (x)cx2s e ) E(X) ) Var(x)
Consider the function
f(x)=x22−9.
(1 point) Consider the function f(x) = 9. 2 In this problem you will calculate " ( - ) dx by using the definition Lira f(x) dx = lim f(x;)Ar i=1 The summation inside the brackets is R, which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub- interval. r2 Calculate R, for f(x) = -9 on the interval [0, 3] and write your answer as a...
5. Let be the function defined by f(x) = -1 3 1.5 if r <0 if 0<x<2 if 3 < r <5 Find the Lebesgue integral of f over (-10,10).