answer and explaination please Rework problem 31 from sectio

answer and explaination please.

Rework problem 31 from section 3.4 of your text, involving the selection of a flight between New York and Los Angeles. Assume that there are three airlines from which to choose, each with a number of flights per day, and an on-time percentage shown below. (Assume that delays occur randomly.) A traveler selects a flight at random, and it arrives on time.

Solution

As per the table given, we will multiply the number of flights with on time percentage to use to calculate the probability to flew by each flight.

(1) Probability that the traveller flew on North-South Air = 3/3+2.4+4.9 = 3/10.3 = 0.2913

(2) Probability that the traveller flew on East-West Air = 2.4/10.3 = 0.233

(3) Probability that the traveller flew on Best Air = 4.9/10.3 = 0.4757

Airline	Num. of Flights	On time percentage	Multiply
North-South Air	5	60	3
East-Weat Air	3	80	2.4
Best Air	7	70	4.9