Five U.S. domestic flights are randomy selected, and In Exercises 6-10, use the

Question

Five U.S. domestic flights are randomy selected, and In Exercises 6-10, use the following: the table in the margin lists the probabilities for the number that arrive on time (based on data from the Department of Transportation). Assume that five flights are random selected. 6. Does the table describe a probability distribution? 7. What does the probability of 0+ indicate? Does it indicate that among five randomly selected flights, it is impossible that none of them arrives on time? 8. What is the probability that at least three of the five flights arrive on time? 9. i 0 am unausully low numbe f lighe riving on time 10. Is 5 an unusually high number of flights arriving on time?

Explanation / Answer

6) as sum of probability at all discrete level is equal to 1 therefore it is a valid distribution

7) It indiacate that probability of all 5 of them to not arrive on time is highly improbable but can not deny the possiibilty.

Hence it does nt mean that it is impossible that none arrive on time but highly unusual

8)

P(X>=3) =P(X=3)+P(X=4)+P(X=5)= 0.198+0.409+0.338=0.945

9)

Yes as probability of that happening is less than 0.05 level of unusual events; it is highly unusual

10) No as probability of that is considerably high  than 0.05 level of unusual events;

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