If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight.

Here is the full question:

The following tables include data from a study of two airlines which fly to Small Town , USA

                     Number of flights                           Number of flights

                    which were on time                         which were late

(Airlines)

Podunk                  33                                                  6

Upstate                  43                                                  5

If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight.

Step-by-step explanation:

Let X be the event that the flight arrived on time and Y be the event that the flight was Upstate Airlines.

So, we are meant to find P (X|Y)

Now;

P(X) = =

=

P(Y) = =

=

P (X ∩ Y ) =

Finally, using defination of conditional probability; we have:

=