Compute the mean and standard deviation of the random variable with the given discrete probability distribution. x P(x) -6 0.10 -3 0.17 2 0.22 5 0.29 7 0.22
Added by John T.
Close
Step 1
The mean is given by the formula: $$ \mu = \sum_{i=1}^n x_i P(x_i) $$ In this case, we have the following probabilities and corresponding values: $$ P(-3) = 0.10 \\ P(-2) = 0.17 \\ P(-1) = 0.22 \\ P(1) = 0.29 \\ P(2) = 0.22 $$ Now, we can compute the Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 92 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
Find the mean and standard deviation of the given probability distribution. x | P(x) 0 | 0.16 1 | 0.32 2 | 0.05 3 | 0.07 4 | 0.40
Ahmet Y.
Madhur L.
Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.) X P(X) 7 0.10 11 0.35 15 0.20 19 0.35
Rashmi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD