ind the mean, variance, and standard deviation of ?. What is the probability that ? falls within the interval (? − 15, ? + 15)?
ind the mean, variance, and standard deviation of ?. What is the probability that ? falls within the interval (? − 15, ? + 15)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
- Consider the random variable ? with the following
probability distribution:
|
x |
10 |
29 |
31 |
41 |
50 |
|
p(x) |
0.25 |
0.10 |
0.15 |
0.30 |
0.20 |
- Find the mean, variance, and standard deviation of ?.
- What is the probability that ? falls within the interval (? − 15, ? + 15)?
Expert Solution
Step 1
The probability distribution table is given below ,
| x | P(x) | x*P(x) | x2*P(x) |
| 10 | 0.25 | 2.5 | 25 |
| 29 | 0.1 | 2.9 | 84.1 |
| 31 | 0.15 | 4.65 | 144.15 |
| 41 | 0.3 | 12.3 | 504.3 |
| 50 | 0.2 | 10 | 500 |
| Sum | 1 | 32.35 | 1257.55 |
Our aim is to find following :
1. E(X) , Var(X) and Standard deviation of X
2. P(-15<X<15)
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