Question

f(x)=kx/8, 0<x<5. Find the value of the constant k and Pr(1<x<3). *

f(x)=kx/8, 0<x<5. Find the value of the constant k and Pr(1<x<3). *

Homework Answers

Answer #1

Solution :

We have the following information given regarding the probability density function (PDF) :

To find the value of the constant   and   :

----------------------------------------------------------------------------------------------

1) To find the value of the constant   :

We know that a function for being a PDF must satisfy the following criterion :

  

  

Thus , putting the value of the constatnt   , the PDF becomes ,

----------------------------------------------------------------------------------------------

2) To find the value of   :

Using the value of the constant   , we found the PDF as ,

Thus , to find the required probability , we have ,

  

  

----------------------------------------------------------------------------------------------

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given (k is a constant): x + y + kz = 1 kx + y +...
Given (k is a constant): x + y + kz = 1 kx + y + z = 3 2kx + 4y + 4z = 3k +12 Find the values of "k" for which the system has: 1. A unique solution. 2. Infinitely many solutions. 3. No solution. b. Plug k = −2 and find the solution for the system c. Plug k = 0 and find the solutions for the system. d. Find the solution for k = 0...
Obtain the solution to the initial value problem kt + c(k)kx = 0, k(x,0) =(150 |x|...
Obtain the solution to the initial value problem kt + c(k)kx = 0, k(x,0) =(150 |x| > 1 =150(1 + (1−|x|)/5) |x|≤ 1
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b) Find the joint cumulative density function of (X,Y) c) Find the marginal pdf of X and Y. d) Find Pr[Y<X2] and Pr[X+Y>0.5]
Let f(x) = 2a^(2x) for some positive constant a. Express f(kx+2) in terms of f(x) if...
Let f(x) = 2a^(2x) for some positive constant a. Express f(kx+2) in terms of f(x) if k is a positive constant. 2) Determine the period, amplitude, phase shift and vertical shift of y = 3 cos(2x - 2PI/5) + 1.5. Draw the graph over 2 cycles. 3) Draw the graph f(x) = (2x + 1)/(x^2 - 1)
1. Find k so that f(x) is a probability density function. k= ___________ f(x)= { 7k/x^5...
1. Find k so that f(x) is a probability density function. k= ___________ f(x)= { 7k/x^5 0 1 < x < infinity elsewhere 2. The probability density function of X is f(x). F(1.5)=___________ f(x) = {(1/2)x^3 - (3/8)x^2 0 0 < x < 2 elsewhere   3. F(x) is the distribution function of X. Find the probability density function of X. Give your answer as a piecewise function. F(x) = {3x^2 - 2x^3 0 0<x<1 elsewhere
1. 4(x+1)^2+5(x+1)-8 = 4(-x)^2+5(-x)-8= 4(x^3)^2+5(x^3)-8= 2. f(x)= { x^2 if x<0.   x+9 if x>=0} f(-2) =...
1. 4(x+1)^2+5(x+1)-8 = 4(-x)^2+5(-x)-8= 4(x^3)^2+5(x^3)-8= 2. f(x)= { x^2 if x<0.   x+9 if x>=0} f(-2) = f(-1) = f(0)= f(1)= f(2)= 3. f(x)= {x^2 +8x if x<= -1. X If -1< x<=1. -1 if x>b1} F(-3)= F(-3/2)= F(-1) = F(40) = 4. F(x)= 6x-7 f(2x)= 2f(x)=
Find f. f ''(x) = 8 + 6x + 36x2, f(0) = 5, f (1) =...
Find f. f ''(x) = 8 + 6x + 36x2, f(0) = 5, f (1) = 15
1. for 0<= x <=3 0<=x<=1 f(x,y) = k(x^2y+ xy^2) a. Find K joint probablity density...
1. for 0<= x <=3 0<=x<=1 f(x,y) = k(x^2y+ xy^2) a. Find K joint probablity density function. b. Find marginal distribution respect to x c. Find the marginal distribution respect to y d. compute E(x) and E(y) e. compute E(xy) f. Find the covariance and interpret the result.
Find f. f "'(x)= cos(x), f(0)=3, f'(0)=5, f "(0)=5
Find f. f "'(x)= cos(x), f(0)=3, f'(0)=5, f "(0)=5
1- Find f. f '''(x) = cos(x),    f(0) = 8,    f '(0) = 6,    f ''(0) = 5 2-...
1- Find f. f '''(x) = cos(x),    f(0) = 8,    f '(0) = 6,    f ''(0) = 5 2- The graph of a function f is shown. Which graph is an antiderivative of f? a,b,c 3- A stone was dropped off a cliff and hit the ground with a speed of 112 ft/s. What is the height of the cliff? (Use 32 ft/s2 for the acceleration due to gravity.) ft 4- A company estimates that the marginal cost (in dollars per item) of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT