On a certain airline, the chance the early flight from Atlanta to Chicago is full is 0.8. The chance the late flight is full is 0.7. The chance both flights are full is 0.6. Are the two flights being full independent events?

Question

Mathematics

Luna Young

5 December, 15:24

On a certain airline, the chance the early flight from Atlanta to Chicago is full is 0.8. The chance the late flight is full is 0.7. The chance both flights are full is 0.6. Are the two flights being full independent events?

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Answers (1)

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Julia Reyes · Answer 1

No

Step-by-step explanation:

A - full early flight atlanta to chicago

P (a) = 0,8

B - full late night flightt

P (b) = 0,7

A&b - both are full

P (a&b) probability that both flights are full

Suppose that they are independet, then we have:

P (a&b) = p (a) * p (b) = 0,8*0,7=0,56.

So if they are independet then p (a&b) = 0,56, and that is not true.