An Airport Limousine Can Accommodate
Trouble 66E
Problem 66E
An airdrome limousine can accommodate upwards to iv passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must accept a reservation. From previous records, 20% of all those making reservations do not appear for the trip. Respond the following questions, assuming independence wherever advisable.
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?
c. Suppose the probability distribution of the number of reservations made is given in the accompanying tabular array.
Allow X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
Pace-past-Footstep Solution:
Respond :
Stride 1 of three :
Given, An aerodrome limousine tin can accommodate up to four passengers on any one trip. The company will accept a maximum of half-dozen reservations for a trip, and a passenger must have a reservation. From previous records, 20% of all those making reservations practice not appear for the trip
If six reservations are made, the claim is to observe the probability that at to the lowest degree i individual with a reservation cannot be accommodated on the trip
Where, p = 0.80 and n = 6
P(at least one individual with a reservation cannot be accommodated on the trip) = P(x v)
= P(x = 5) + P(ten = 6)
= +
= (six) (0.32768) (0.twenty) + (one) (0.2621) ( ane)
= 0.3932 + 0.2621
= 0.6553
Textbook: Probability and Statistics for Engineering and the Sciences
Edition: 9
Author: Jay 50. Devore
ISBN: 9781305251809
An Airport Limousine Can Accommodate,
Source: https://studysoup.com/tsg/186355/probability-and-statistics-for-engineering-and-the-sciences-9-edition-chapter-3-problem-66e
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