Question

The following data is related to a market survey of an airline company about the behaviour of travellers in purchasing tickets, and whether travellers researched airline ticket prices on the internet and booked them on the internet.

Booked airline tickets on the internet

Researched airline ticket prices on the internet Yes No   Total

Yes 113 149 262

No 55 193 248

Total 168 342 510

a) What is the probability that a traveller booked an airline ticket on the internet, given that the traveller researched airline ticket prices on the internet? [3 Marks]

b) What is the probability that a traveller researched airline ticket prices on the internet, given that the traveller booked an airline ticket on the internet? [3 Marks]

c) Explain the difference in the results in part (a) and (b). [2 Marks] d) Are the two events, researching airline ticket prices on the internet and booking airline tickets on the internet, statistically independent? Explain. [2 Marks]

Answer 1

	Yes	No	total
Yes	113	149	262
No	55	193	248
total	168	342	510

a)

probability that a traveller booked an airline ticket on the internet, given that the traveller researched airline ticket prices on the interne =113/262=0.4313

b)

probability that a traveller researched airline ticket prices on the internet, given that the traveller booked an airline ticket on the interne113/168=0.6726

c)

result a and b are conditional probability of boking ticket on internet given reseasched in internet and researching on internet given booked on internet

d)

here as P(booked on internet)=168/510=0.3294

as P(booked on internet) is not equal to P(booked on internet given researched on internet) are not equal.

therefore  two events, researching airline ticket prices on the internet and booking airline tickets on the internet are not statistically independent.