Find k such that f(x) = kx^3 is a probability density function over [0, 2]. Then write the probability density function.
Added by Christopher D.
Step 1
Step 1: Given that f(x) = kx^3 is a probability density function over [0, 2], we need to find the value of k. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Suman K and 60 other Calculus 1 / AB 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
Sahil K.
Find the value of $k$ that makes the given function a probability density function on the specified interval. $$f(x)=k\left(3 x-x^{2}\right), 0 \leq x \leq 3$$
Probability and Calculus
Continuous Random Variables
Find $k$ such that each function is a probability density function over the given interval. Then write the probability density function. $$f(x)=k x^{2}, \quad[-1,1]$$
Applications of Integration
Probability
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD