The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either early or late. If it leaves early this time then there is only a 15% chance that it would leave early the next time. On the other hand, if it leaves late this time then there is a 70% chance that it would leave early next time. Suppose that there is an 80% chance that the bus will be leaving late this time. What is the probability that the bus will leave early the third time (includes current time in the count) it leaves the terminal?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either
early or late. If it leaves early this time then there is only a 15% chance that it would leave early the
next time. On the other hand, if it leaves late this time then there is a 70% chance that it would leave
early next time. Suppose that there is an 80% chance that the bus will be leaving late this time. What
is the probability that the bus will leave early the third time (includes current time in the count) it
leaves the terminal?
Transcribed Image Text:The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either early or late. If it leaves early this time then there is only a 15% chance that it would leave early the next time. On the other hand, if it leaves late this time then there is a 70% chance that it would leave early next time. Suppose that there is an 80% chance that the bus will be leaving late this time. What is the probability that the bus will leave early the third time (includes current time in the count) it leaves the terminal?
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