Given continuous random variable X with the following pdf: f(x) = 0 < x < 1 elsewhere. (a) Determine the value of c so that f(x) is a pdf. (b) Compute P(0.2 < x < 0.8) with the value found in part (a). (c) Compute P(X > 0.6).
Added by Kaitlin C.
Step 1
Thus, we have: ∫[0,1] c(r-r) dr = 1 Integrating by parts, we get: c ∫[0,1] r dr - c ∫[0,1] r^2 dr = 1 c [r^2/2]1_0 - c [r^3/3]1_0 = 1 c/2 - c/3 = 1 c = 6 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Jeremy Gamble and 90 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
Sri K.
Let X be a continuous random variable with the following probability density function (PDF): f(x) = c * e^(-x) for x >= 2 0 otherwise Find: a) The CDF of X b) P(1 < X < 4) c) E[X] and Var[X]
Madhur L.
Consider this function
Robin C.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD