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.) (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 0.14 0.22 0.35 0.29 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. x 0 1 2 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.) (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 0.14 0.22 0.35 0.29 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. x 0 1 2 3 4 p(x)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
Related questions
Question
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.)
(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.
Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
(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 | 0.14 | 0.22 | 0.35 | 0.29 |
| x | 0 | 1 | 2 | 3 | 4 |
| p(x) |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL