SOLUTION: The probabilities that a service station will pump gas into 0, 1,2,3,4, or 5 or more cars during a certain 30-minute period are 0.03,0.18,0.24,0.28,0.10, and O.17, respectively.

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Question 843006: The probabilities that a service station will pump gas into 0, 1,2,3,4, or 5 or more
cars during a certain 30-minute period are 0.03,0.18,0.24,0.28,0.10, and O.17,
respectively. Find the probability that in this 30-minute period, more than 2 cars receive
gas.
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
The total probability is 1.
The presumption is that the probabilities are:
.03 that exactly 0 cars will get pumped.
.18 that exactly 1 car will get pumped.
.24 that exactly 2 cars will get pumped.
.28 that exactly 3 cars will get pumped.
.10 that exactly 4 cars will get pumped.
.17 that exactly 5 or more cars will get pumped.

the probability that more than 2 cars will get pumped is equal to 1 minus the probability that exactly 0 or 1 or 2 cars will get pumped.

that is equal to 1 - (.03 + .18 + .24) which is equal to 1 - .45 which is equal to .55.

the probability is equal to .55 or 55% that more than 2 cars will get pumped.