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, 30% 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? (b) If six reservations are made, what is the expected number of available places when the limousine departs? | 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 0.15 0.18 0.34 0.33 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 1 3 4 P(x)
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, 30% 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? (b) If six reservations are made, what is the expected number of available places when the limousine departs? | 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 0.15 0.18 0.34 0.33 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 1 3 4 P(x)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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, 30% 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?
(b) If six reservations are made, what is the expected number of available places when the limousine departs?
|places
(c) Suppose the probability distribution of the number of reservations made is given in the accompanying table.
Number of reservations
3
4
6
Probability
0.15
0.18
0.34
0.33
Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
1
P(x)
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