r, February. a mayor airline had 77.9% of ther fights arrive on tin. Ase rethat

Question

r, February. a mayor airline had 77.9% of ther fights arrive on tin. Ase rethat the event that a gi enSgM am esoteandepende,ofhe eve, hat new arrives on time a. A writer plans to take three separate fights for her publisher noxt month. Assuring to airine has all three flights arrive on time? b. Discuss same ore ne performance as in February what i·the probablity that how realistic t is to assume that the on-time arrivals of the different fights are independent The probability s Simplity your answer. Round to four decimal places as needed) b. How realistic is it to assume that the on-ime arrivals of the different fights are independent OA. Iisrealistic since the arine has mostly on-trne armvas. B.· "'s not very reaistic snce the tirneofarnval of one fight mng" anoc, the trne o' arrival of another fight bhe same anne O C. it is realistic since the time of arrival of one Right never affects the time of arrival of another fight for the same aitline

Explanation / Answer

Solution:-

p = 77.9/100

p = 0.779

n = 3

a) The probability that all three flights arrive on time is 0.4727.

x = 3

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 3) = 0.47273

b) It iws not very realistic since the time of arrival of one flight might affect the time of another flight for the same airline.

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