4.106 A consumer agency randomly selected 1700 flights for two major airlines, A

Question

4.106 A consumer agency randomly selected 1700 flights for two major airlines, A and B. The follow- ing 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 More Than 30 Minutes to Minutes Late i Hour Late 1 Hour Late 429 390 Airline A 92 393 316 Airline B 80 If one flight is selected at random from these 1700 flights, find the following probabilities. a. POmore than 1 hour late or airline A) b. P(airline B or less than 30 minutes late) c. airline A or airline B)

Explanation / Answer

a) P( more than 1 hour late or airline A)

= ( number of flights of airline A + number of flights of airline B which are more than 1 hour late ) / 1700

= ( 429 + 390 + 92 + 80) /1700 = 0.5829

Therefore 0.5829 is the required probability here.

b) P ( airline B or less than 30 min late )

= ( number of flights of airline B + number of flights with airline A that are less than 30 min late ) / 1700

= ( 393 + 316 + 80 + 429) / 1700 = 0.7165

Therefore 0.7165 is the required probability here.

c) P( airline A or Airline B) = 1 since only 2 airlines are there.

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