Q3. A Delta flight from Cincinnati to Columbus, Ohio uses a Boeing 737 with 114 seats. From past experience Delta knows that approximately 90% of the customers that have purchased tickets for this flight actually check in. a. If they sell 120 tickets for this flight, what is the probability that they cannot accommodate all passengers who check in?
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.
How do you find this probability?
Given data
P(check in ) = 0.90 =p
So q = 1-p = 0.10
n =120 tickets sold
Capacity of plane = 114 seats
X = no. of people checkin
P(x=X) = nCx *px*qn-x
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