2.) Air America has a policy of routinely overbooking flights, because past experience shows that some passengers fail to show. The random variable X represents the number of passengers who cannot be boarded because there are more passengers than seats. X 3 4 P(X) 0.815 0.113 0.057 0.009 0.006 a.) Construct the graph of the probability distribution. b.) If a flight is chosen at random, what is the probability that at least 3 passengers cannot be boarded? c.) If a flight is chosen at random, what is the probability that no more than 2 cannot be boarded? passengers d.) Find the mean number of passengers that cannot be boarded. e.) Find the standard deviation of the number of passengers that cannot be boarded.

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2.) Air America has a policy of routinely overbooking flights, because past experience shows
that some passengers fail to show. The random variable X represents the number of passengers
who cannot be boarded because there are more passengers than seats.
X
1
3
4
P(X)
0.815
0.113
0.057
0.009
0.006
a.) Construct the graph of the probability distribution.
b.) If a flight is chosen at random, what is the probability that at least 3 passengers cannot be
boarded?
c.) If a flight is chosen at random, what is the probability that no more than 2 passengers
cannot be boarded?
d.) Find the mean number of passengers that cannot be boarded.
e.) Find the standard deviation of the number of passengers that cannot be boarded.
Transcribed Image Text:2.) Air America has a policy of routinely overbooking flights, because past experience shows that some passengers fail to show. The random variable X represents the number of passengers who cannot be boarded because there are more passengers than seats. X 1 3 4 P(X) 0.815 0.113 0.057 0.009 0.006 a.) Construct the graph of the probability distribution. b.) If a flight is chosen at random, what is the probability that at least 3 passengers cannot be boarded? c.) If a flight is chosen at random, what is the probability that no more than 2 passengers cannot be boarded? d.) Find the mean number of passengers that cannot be boarded. e.) Find the standard deviation of the number of passengers that cannot be boarded.
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