The airline industry defines no-shows as passengers who have purchased a ticket

Question

The airline industry defines no-shows as passengers who have purchased a ticket but fail to arrive at the gate on time for departure. Southwest Airlines operates many flights from Philadelphia to Dallas and experienced the following no-show probability distribution last year. the following data represent the number of no-shows that occurred on a random sample of120 flights between these two cities this year. These. Southwest Airlines would like to know if the probability distribution of no-shows has changed between last year and this year on flights between last year and this year on flights between these two cities using half=0.05. The expected frequency of one no-show for this sample is.5.0 11.3 14.4 23.9 AT&T; would like to investigate if brands of Smartphone and income level are independent variables. The following contingency the show the number of customers who own three brands of smartphones along with their income level. The expected number of customers who own an iphone and earn more than $100,000 is 10.0 12.0 17.5 22.5

Explanation / Answer

14. the probability of 1 no show is=p1=12%=0.12

we have a random sample of n=120 flights

let X denote the number of 1 no show out of 120

hence X is expected to follow Bin(120,0.12)

hence the expected frequency of one no show for this sample is

E[X]=120*0.12=14.4   [answer]   [option C]

15. here total number of persons=15+15+10+20+50+20+15+25+30=200

total number of persons who use iphone=15+15+10=40

total number of persons who earn more than $100,000=10+20+30=60

hence probability of using iphone=40/200

and probability of earning more than $100,000=60/200

here the company wants to investigate whether brand of smartphone and income level are indepedent or not.

hence it is expected that

probability of using iphone and earning more than $100,000=probability of using iphone* probability of earning more than $100,000=(40/200)*(60/200)

hence the expected number of customers who own an iphone and earns more than $100,000 is

200*(40/200)*(60/200)=12 [answer] [option B]

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