Question
Find a value of $k$ that will make $f$ a probability density function on the indicated interval.$$f(x)=k x^{5} ;[0,6]$$
Step 1
This is a requirement for a function to be a probability density function. So, we set up the integral as follows: \[ \int_{0}^{6} kx^{5} dx = 1 \] Show more…
Show all steps
Your feedback will help us improve your experience
Matt Just and 57 other Calculus 2 / BC 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 a value of $k$ that will make $f$ a probability density function on the indicated interval. $$f(x)=k x_{*}[0,5]$$
Probability and Calculus
Continuous Probability Models
Find a value of $k$ that will make $f$ a probability density function on the indicated interval. $$f(x)=k x^{3} :[0,5]$$
Find a value of $k$ that will make $f$ a probability density function on the indicated interval. $$f(x)=k x^{2} ;[0,5]$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD