All Questions
2 questions
7
votes
1
answer
493
views
How to solve this probability symbolically or numerically?
I am trying to calculate the following probability
$$\mathbb{P} \big(\sum_{i=1}^{m} (A_i + S_i) \le L < \sum_{i=1}^{m+1} (A_i + S_i) \big)$$
where,
$$A_i \sim \exp(\lambda), \quad S_i \sim \exp(...
- 840
2
votes
1
answer
614
views
Compute symbolic Expectation of a summation
I am required to computed following Expectations :
$E[\displaystyle\sum\limits_{i=1}^N \frac{X_{i}}{N}] = \bar{x}_{0}$ & $E[\displaystyle(\sum\limits_{i=1}^N \frac{X_{i}}{N})^2] = \frac{(N\bar{x}...