For commercial flights in 2009, approximately 70% arrived on time (within 15 min

Question

For commercial flights in 2009, approximately 70% arrived on time (within 15 minutes of scheduled arrival time). Complete parts a through c below a. Assuming that this success rate still holds, if you randomly select four flights and assume they are independent, what is the probability that all will arrive on time? The probability that all four will arrive on time is Type an integer or decimal rounded to three decimal places as needed.) b. What is the probability that at least one of the flights will be late? The probability of at least one of the four flights being late is (Type an integer or decimal rounded to three decimal places as needed.) c. If all four flights are on the same day in December and all four are flights to the same city, explain why the binomial model is not appropriate for finding the probability that at least one flight will be late. Choose the correct answer below. O A. The flights might not be independent, because the weather could be bad and that might cause most of the flights to be late. Thus, if one flight is late, the others are more likely to be late. O B. The number of outcomes is greater than two, since flights could be either on time, late due to the bad weather, or late because the flights ahead of it were delayed due to bad weather. C The number o flights is not fixed, because some fights might need to make emergency landings and never a rveaue bad weather.

Explanation / Answer

Ans a)

P(all flights on time ) = 0.7*0.7*0.7*0.7 =0.2401

b)

P(atleast 1 flight is late ) = 1- P(all flights on time ) = 1-0.2401 = 0.7599

c) A.THe flights will be dependent

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