<p><strong>Assume the likelihood that any flight on Northwest Airlines arrives w

Question

<p><strong>Assume the likelihood that any flight on Northwest Airlines arrives within 15 minutes of the scheduled time is .90. We select four flights from yesterday for study.</strong><br /><br />a. What is the likelihood all four of the selected flights arrived within 15 minutes of the scheduled time?<br />b. What is the likelihood that none of the selected flights arrived within 15 minutes of the scheduled time?<br />c. What is the likelihood at least one of the selected flights did not arrive within 15 minutes of the scheduled time?<br /><br /></p>

Explanation / Answer

a. What is the likelihood all four flights arrived within 15 minutes of the schedule time? --- Ans: 0.9^4 = 0.6561 -------------------------------- b. What is the likelihood that none of the selected flights arrived within 15 minutes of the schedule time? --- Ans: 0.1^4 = 0.0001 ------------------------------ c. What is the likelihood at least one of the selected flights did not arrive within 15 minutes of the schedule time? --- P(at least one did not) = P(at least one was late)= 1-P(none were late) = 1 - 0.6561 = 0.3439

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