(t - W) 20 - Suppose that X ~ N(u, σ^2). Show that P(X > t) < 1/2 when t > u + √(2σ^2)
Added by James B.
Step 1
This can be written as: P(X > t) = 1 - P(X <= t) Show more…
Show all steps
Close
Your feedback will help us improve your experience
Qudsiya Anis and 71 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
Show that $\sigma^{2}=E\left(x^{2}\right)-\mu^{2}$
PROBABILITY
Random variables
If $X$ is $N\left(\mu, \sigma^{2}\right)$, show that $E(|X-\mu|)=\sigma \sqrt{2 / \pi}$.
Some Special Distributions
The Normal Distribution
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