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(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

A First Course in Probability (10th Edition)
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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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
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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