Problem: 100 Cars are going to be randomly assigned to inspection team A or inspection team B (but not both). They are assigned to team A with probability
and team B with probability
Team A randomly passes cars with probability
and Team B randomly passes cars with probability
How many cars do you expect to pass inspection?
I'm not sure how easy this is. Here's what I did:
I would expect 100(.6)=60 cars to go to Team A and 40 cars to go to team B.
Then of the 60 Team A inspects, 60(.35)=21 should pass
Of the 40 Team B inspects, 40(.6)=24 should pass
So I would expect 21+24=45 to pass?
Is this alright?