A space shuttle requires 3-out-of-4 of its main engines to achieve orbit. Each engine has a reliability of 0.97. What is the probability of achieving orbit?
if each engine has a reliability of .97 then we can look at this
Now if we only need 3 out of 4 then this converts into a Binomial distribution which tells us the probability of
in this case we know that we need at least 3 so