Two different airlines have a flight from los angeles to new york that departs each weekday morning at a certain time. suppose that e denotes the event that the first airline's flight is fully booked on a particular day, and f denotes the event that the second airline's flight is fully booked on that same day. suppose that p(e) = 0.7, p(f) = 0.6, and p(e ∩ f) = 0.49. calculate p(e | f) the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked.

0.8167

Step-by-step explanation:

Let E denotes the event that the first airline's flight is fully booked on a particular day, and F denotes the event that the second airline's flight is fully booked on that same day.

Given :  P(E) = 0.7, P(F) = 0.6, and P(E ∩ F) = 0.49.

Then,  by conditional probability formula , we have

Hence, the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked.= 0.8167

2

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.