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, 25% 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? 0.177978 (b) If six reservations are made, what is the expected number of available places when the limousine departs? 2.5043 X places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. Number of reservations 4 5 6 Probability 0.11 0.23 0.29 0.37 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 4 p(x) 0.2539 0.3898 0.2502 0.0868 0.0193
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, 25% 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? 0.177978 (b) If six reservations are made, what is the expected number of available places when the limousine departs? 2.5043 X places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. Number of reservations 4 5 6 Probability 0.11 0.23 0.29 0.37 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. 4 p(x) 0.2539 0.3898 0.2502 0.0868 0.0193
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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