- #1
mertcan
- 340
- 6
guys, I have a very ımportant question. First let me introduce parameters: $$S^A_1 = \text{first arrival of A event}, and S^B_1= \text{first arrival of B event}, and S^C_1=\text{ first arrival of C event}$$, then probability of $$P(S^A_1<S^B_1) = \frac {\lambda_A} {\{ \lambda_A + \lambda_B \} }$$, and I know how to derive this, also I know how to derive $$P(S^A_2<S^B_5)$$ BUT what is the probability of $$ P(S^A_1<S^B_1<S^C_1)$$ ? AND ALSO what is the probability of $$P(S^A_2<S^B_4<S^C_6)$$ ? ıf you know could you show me the derivation of that probabilities?
I really endeavour to dig lots of things related to this situation out of internet, but I have not found worthy...
thanks in advance...
I really endeavour to dig lots of things related to this situation out of internet, but I have not found worthy...
thanks in advance...
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