SOLUTION: f(x)= 3x+1/k for x= (1,3,5,7,9,11) 0 otherwise a. Find the value of k that will make this function a “true” pdf. b. Find the mean, variance and standard devia

Algebra.Com
Question 437225:
f(x)= 3x+1/k for x= (1,3,5,7,9,11)
0 otherwise
a. Find the value of k that will make this function a “true” pdf.
b. Find the mean, variance and standard deviation for this random variable.
c. Find P(x>3)
d. Find P(1≤x≤9)
e. Find P(x<9)

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
a.
==> k = 114.
b.

=, to 6 decimal places.

RELATED QUESTIONS

A discrete random variable has pdf f(x). (a) If f(x) = k(1/2)^x for x= 1, 2, 3, and zero (answered by math_tutor2020)
A function f(x) has the following form: f(x)=kx^-(k+1) 1 < x < ∞ and zero... (answered by amarjeeth123)
The function f is such that f(x) = 3x - 2 for x >= 0. The function g is such that g(x) = (answered by robertb)
1.)Given the function k described by k(x)=x+18 find the following: k(0)=? 2.)Given the... (answered by stanbon)
Suppose the probability density of X is given by f(x) = kxe^(-x^2 ), X>0 = 0,... (answered by CPhill)
A discrete random variable X has a pdf of the form f(x) = c(8 - x) for x = 0, 1, 2, 3, 4, (answered by Edwin McCravy)
consider the polynomial P(x)=x^3+3x^2+(3-k)x+1-k where k is a constant. a, show that... (answered by math1239028)
I NEED HELP. PLEASE HELP ME ASAP. THANKS BEFORE :) 1) The straight line with equation... (answered by richard1234)
5(a)complete the table for the function f (x ) = (x^3/2)-3x -1 X |-3 |-2|-1.5|-1 |0 (answered by Alan3354,ikleyn)