1. The cumulative probability distribution function of a random variable ( X(0 leq X leq 1) ) is given by ( F(x)=k x^{3}-4 x ). Find the value of ( k ).
Added by Kacper N.
Close
Step 1
One of these is that \(F(x)\) must approach 1 as \(x\) approaches the upper limit of \(X\)'s domain. In this case, since \(0 \leq X \leq 1\), we must have \(F(1) = 1\). Show more…
Show all steps
Your feedback will help us improve your experience
Ivan Kochetkov and 61 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the value of $k$ that makes the given function a probability density function on the specified interval. $$f(x)=k x^{2}(1-x), 0 \leq x \leq 1$$
Probability and Calculus
Continuous Random Variables
Find the value of $k$ that makes the given function a probability density function on the specified interval. $$f(x)=k x, 1 \leq x \leq 3$$
Find the value of $k$ that makes the given function a probability density function on the specified interval. $$f(x)=k\left(3 x-x^{2}\right), 0 \leq x \leq 3$$
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD