3. Let X be a normal random variable with mean 10 and variance 4. (a) Find P(X > 10) (b) Find P(X < 12) (c) Find P(10 < X < 12) (d) Find x' such that P(X < x') = 0.95
Added by Lori D.
Close
Step 1
Find P(X > 10): We need to know the distribution of X to calculate this probability. However, we know that the mean of X is 0 and the variance is . Therefore, we can assume that X follows a normal distribution with mean 0 and standard deviation . Using a standard Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 78 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
A discrete random variable has a standard deviation equal to 10 and a mean equal to $50 .$ Find $\Sigma x^{2} P(x).$
Probability Distributions
The Binomial Probability Distribution
A normally distributed random variable X satisfies P(X ≤ 0) = 0.40 and P(X ≥ 10) = 0.10. What is the expected value µ and the standard deviation σ?
Jason H.
Assume that the random variable X is normally distributed, with mean μ=80 and standard deviation σ=12. Compute the probability P(X<95).
Narayan H.
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