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, 20% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. 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. Ifsix 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 table. Number of reservations 3 4 5 6 Probability .1 .2 .3 .4 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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, 20% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate.
a. If six reservations are made, what is the
b. Ifsix 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 table.
|
Number of reservations |
3 |
4 |
5 |
6 |
|
Probability |
.1 |
.2 |
.3 |
.4 |
Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass
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