In a recent year, potentially dangerous commercial aircraft incidents (e. g., near collisions) averaged 1.2 per 100,000 flying hours. Let X be the number of incidents in a 100,000-hour period. (a) Justify the use of the Poisson model. Near collisions are random and independent events. Each collision is dependent on the occurrence of another. Collisions are routine systematic occurrences. (b) What is the probability of at least one incident? (Round your answer to 4 decimal places.) Probability (c) More than three incidents? (Round your answer to 4 decimal places.) Probability

a) Near collisions are random and independent events.

b) P=0.6988

c) P=0.1205

Step-by-step explanation:

a) The use of a Poisson model is appropiate because it can represent independent events subject to a usually low occurrence rate and high exposure (in number of hours, in this example). Near collisions are random and independent events.

b) The rate of occurrence is 1.2 near collisions per 100,000 flying hours.

The probability of at least one incident is:

c) The probability of more than 3 incidents is:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

d

step-by-step explanation: