There is a hotel that is opening where guests can rent a single room or double room. 70% of the guests prefer to rent a single room, while the rest prefer to rent a double room. There were 15 guests who were going to stay in the hotel one day. i) What is the mean and the standard deviation of the number of people who prefer to rent a single room? ii) What is the probability that the number of people who want a single room is more than two standard deviations away from the mean ? iii) There are only 13 single rooms and 10 double rooms at the hotel. If the 15 people get checked-in one after another, what is the probability that all of them will be able to rent their preferred kind of room?
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.
There is a hotel that is opening where guests can rent a single room or double room. 70% of the guests prefer to rent a single room, while the rest prefer to rent a double room. There were 15 guests who were going to stay in the hotel one day.
i) What is the mean and the standard deviation of the number of people who prefer to rent a single room?
ii) What is the probability that the number of people who want a single room is more than two standard deviations away from the mean ?
iii) There are only 13 single rooms and 10 double rooms at the hotel. If the 15 people get checked-in one after another, what is the probability that all of them will be able to rent their preferred kind of room?
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