Virgin blue airlines commenced its operation in Australia as a cosmetic carrier in august 2000 starting with a tin shed terminal facility virgin blue promoted as image as a low cost airline with a high level of customer care the two competetors Qantas and Ansett were long established in Australia with convinent and more comfortable terminal facilities so virgin b;lue had to come up with another way of marketing its airline tickets to Australian customers. the slogan keeps the air fair was used in a series of commercials featuring virgin owner sir richard branson within four years of launching the airline , virgin blue secured 34% of the market , during this same time period 30% of domestic air travellers travelled with virgin blue for the first time anf 85% of those who initially travelled with virgin blue were flying with virgin blue against his new airline virgin blue again, thus new airline, virgin blue , had been successfully introduced into the australian domestic travel market
1. What probabilities are given in this case? Use these probabilities and the probability laws to determine what percentage of domestic travelers travelled with Virgin blue at least twice in the last 4 years.
○1In this case, there are 3 probabilities have been given.
Within four years of launching the airline, Virgin Blue secured 34% of the market. How many percentage of the market VB got? P(m)=0.34
○②. During this same time period, 30% of domestic air travelers travelled with VB for the first time. P(f)=0.3
○③. During this same time period, 85% of those who initially travelled with VB were flying with VB again. P(s)=0.3*0.85=0.255
What percentage of domestic travelers travelled with Virgin blue at least twice in the last 4 years?
P(t)=1-(1-0.3)-0.3*(1-0.85)=0.255
0.255*100%=25.5%
2. Is age category independent of the willingness to travel with the new airline? Reliable statistics suggest that approximately 12% of all domestic travelers are in the 35-49 age category....