Recent content by kalizazzz623

Well I'm not really sure if I'm doing it wrong or correctly, cause it doesn't yield the answer. My solution: S_1 = \sum_i \Pr(E_i) \ = 2r^3+2r^5\\ S_2 = \sum_{i < j} \Pr(E_i E_j) \ = 5r^6+r^7\\ S_3 = \sum_{i < j < k} \Pr(E_i E_j E_k)\ =4r^7\\ S_4 = P(E_1 E_2 E_3 E_4) =r^7\\ then Pr...

Sorry for being bad at elementary probability, but does ##E_1 E_2## equals to ##r^6##? And for ##E_1 E_2 E_3##, is it equals to ##r^7##? Thanks in advance.

P(E1)=0.9x0.9x0.9 =0.729 P(E2)=0.9x0.9x0.9 =0.729 P(E3)=0.9x0.9x0.9x0.9x0.9 =0.59049 P(E4)=0.9x0.9x0.9x0.9x0.9 =0.59049 For ##\Pr(E_i \cap E_j)##, thus this means I have to do for ##\Pr(E_1 \cap E_2)##, ##\Pr(E_1 \cap E_3)##, ##\Pr(E_1 \cap E_4)## and the remaining? And by the equation...

Homework Statement Question: A system consists of 7 equal reliable components having the following configuration with each component has a reliability of 0.9. Find the reliability of the system. Homework Equations I was taught (and only been taught) with the calculations to obtain...