(a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip? 0.1636 (b) If six reservations are made, what is the expected number of available places when the limousine departs? 0.89125 places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. 3 5 0.14 0.29 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 0 1 2 3 4 Number of reservations Probability x p(x) 4 0.18 6 0.39
(a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip? 0.1636 (b) If six reservations are made, what is the expected number of available places when the limousine departs? 0.89125 places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. 3 5 0.14 0.29 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 0 1 2 3 4 Number of reservations Probability x p(x) 4 0.18 6 0.39
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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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, 50% 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.)
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?
0.1636
(b) If six reservations are made, what is the expected number of available places when the limousine departs?
0.89125 places
(c) Suppose the probability distribution of the number of reservations made is given in the accompanying table.
Number of reservations
3
6
Probability
0.14
0.39
Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
4
1
3
X
p(x)
0
4
0.18
2
5
0.29
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