SOLUTION: An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus wi

Question 1115896: An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus will be early is 0.02.
-What is the probability that the bus will arrive early next two days?
-What is the probability that the bus will arrive on time next two days?
-In two or more complete sentences, explain your calculations for parts A and B. In your explanation, include their similarities and differences.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!

Assuming independence, 0.02*0.02=0.0004
On time next two days is 0.79^2, the 0.79 being 1.00-0.19-0.02
=0.6241
The first is the stated probability squared.
The second requires using the complement to get the required probability and then squaring it.
Note: sometimes, people refer to on time as early as well. It isn't clear from this question that is the case. If coming early is "on time" then the answer to the last is 0.81^2 or 0.6561.
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