Question

Three airlines serve a small town in Ohio. Airline A has 46% of all scheduled flights, airline B has 35% and airline C has the remaining 19%. Their on-time rates are 79%, 66%, and 39%, respectively. A flight just left on-time. What is the probability that it was a flight of airline A?

Probability =

Answer 1

okay

Answer 2

@dan815 How do you find the Probability of that though?

Answer 3

Lets take a look at number of flights that are on time

Answer 4

suppose instead of percents you think of it as just having 46,35 and 19 planes
now you know that 76%,66% and 39% of each of those respectively will be on time

Answer 5

ok

Answer 6

what does it mean for the number flights we are talking about here

Answer 7

76% of the 46 is on time for flight A
how many total flights are on time
that is
46*76% + 35*66%+19*39%
therefore
the prob that a flight was ontime and is A is
= on time A flights/Total On time flights
=46*76%/(46*76% + 35*66%+19*39%)

Answer 8

I tried doing something similar to that earlier, ill try it now

Answer 9

i can help you understand it conceptually if its not making sense

Answer 10

now it makes sense. My brain is complete fried I Have not slept for over a day and possibly looking at a back to back all nighters. I have a mid-term tomorrow that I know Little about

Answer 11

oh okay, good luck

Answer 12

thanks

Answer 13

@dan815 Is the answer .3634/.6685

Answer 14

i dont know its just that expression

Answer 15

It was RIGHT!! Thank you :D