SOLUTION: 1. Calculate the probability of the following assuming a probability of any arrival at an emergency room being an emergency as 0.646, and assuming that arrivals are independ

Question 847193: 1. Calculate the probability of the following

assuming a probability of any arrival at an emergency room being an emergency as 0.646, and assuming that arrivals are independent, the probability of the next four arrivals being all emergencies

Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
The key word is that the arrivals are INDEPENDENT. Normally in order to find P(AB), we must find P(A) * P(B|A). But notice that since they are independent, A doesn't affect the outcome of B. Thus we can just multiply the resulting probabilities as is. This is very handy because the probability of 4 emergencies is P[emergency]^4 = .646^4 = .1742
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