A consumer agency randomly selected 1800 flights for two major airlines, A and B

Question

A consumer agency randomly selected 1800 flights for two major airlines, A and B. The following table gives the two-way classification of these flights based on airline and arrival time. Note that "less than 30 minutes late" includes flights that arrived early or on time Less Than 30 Minutes Late 416 356 30 Minutes to Hour Late 350 315 More Than 1 Hour Late 54 309 Airline A Airline B a. Suppose one flight is selected at random from these 1800 flights. Find the following probabilities. Round your answers to three decimal places. ·P(more than 1 hour late and airline A)= ii. P(airline B and less than 30 minutes late)- b. Find the joint probability of events "30 minutes to 1 hour late" and "more than 1 hour late." P(30 minutes to 1 hour late and more than 1 hour late Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

a)
more than 1 hour and airline A = (54 )/ 1800 = 0.03
airline B and less than 30 min = 356 /1800 = 0.197777

b)
P( 30 min to 1 hour nd more than 1 hour late)
= (350 +315 + 54 +309 )/ 1800
= 0.57111111

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