an airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 25% of all those making reservations do not appear for the trip. Ans he following questions, assuming independence wherever appropriate. (Round your answers three decimal places.) A USE SALT (a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip? 0.0046 (b) If six reservations are made, what is the expected number 2.5048 available places when the limousine departs? X places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. Number of reservations 3 4 5 6 Probability 0.11 0.23 0.29 0.37 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

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An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 25% of all those making reservations do not appear for the trip. Answer
the following questions, assuming independence wherever appropriate. (Round your answers to three decimal places.)
n USE SALT
(a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
0.0046
(b) If six reservations are made, what is the expected number of available places when the limousine departs?
2.5048
X places
(c) Suppose the probability distribution of the number of reservations made is given in the accompanying table.
Number of reservations
4
Probability
0.11
0.23
0.29
0.37
Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
1
2
3
4
p(x)
0.2538
0.3898
0.2502
0.0867
0.0193
Transcribed Image Text:An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 25% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. (Round your answers to three decimal places.) n USE SALT (a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip? 0.0046 (b) If six reservations are made, what is the expected number of available places when the limousine departs? 2.5048 X places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. Number of reservations 4 Probability 0.11 0.23 0.29 0.37 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 1 2 3 4 p(x) 0.2538 0.3898 0.2502 0.0867 0.0193
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An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 25% of all those making reservations do not appear for the trip. 

 

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