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Exercise

Delayed flights

A certain airline offers flights departing to New York on Tuesdays and Fridays, but sometimes the flights are delayed:

Delayed On time Total
Tuesday 24 114 138
Friday 11 127 138
Total 35 241 276

At the bottom of the Delayed column you have a total of 35, which means there were 35 delayed flights out of the total of 276 departures in the sample. Of these, 24 were on Tuesday and 11 on Friday.

Given the table, answer the following questions:

Instructions 1/4
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  • 1

    What is the probability of a flight being on time?

    • 2

      Every departure is on time with probability P_On_time. What is the probability of a flight being delayed?

    • 3

      Given that it's Tuesday, what is the probability of a flight being delayed (P(Delayed|Tuesday))?

    • 4

      Given that it's Friday, what is the probability of a flight being delayed (P(Delayed|Friday))?

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