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 record 15% 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.) LUSE 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? 0.776 (b) If six reservations are made, what is the expected number of available places when the limousine departs? 0.054 ✓ places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. 3 0.15 Number of reservations Probability Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 0 1 2 Need Help? X p(x) 0.032 Watch It X 0.146 4 0.21 5 0.29 x 0.284 6 0.35 x 0.292 0.388 4
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 record 15% 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.) LUSE 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? 0.776 (b) If six reservations are made, what is the expected number of available places when the limousine departs? 0.054 ✓ places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. 3 0.15 Number of reservations Probability Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 0 1 2 Need Help? X p(x) 0.032 Watch It X 0.146 4 0.21 5 0.29 x 0.284 6 0.35 x 0.292 0.388 4
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...
Related questions
Question
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,
15% 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?
0.776
(b) If six reservations are made, what is the expected number of available places when the limousine departs?
0.054
places
(c) Suppose the probability distribution of the number of reservations made is given in the accompanying table.
Number of reservations
3
6
5
0.29
Probability
0.15
0.35
Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
0
1
2
3
Need Help?
X
p(x)
0.032
Watch It
X
0.146
4
0.21
X 0.284
X
0.292
X
0.388
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 7 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON