According to an airline, flights on a certain route are on time 75% of the time. Suppose 24 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 15 flights are on time. (c) Find and interpret the probability that fewer than 15 flights are on time.
According to an airline, flights on a certain route are on time 75% of the time. Suppose 24 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 15 flights are on time. (c) Find and interpret the probability that fewer than 15 flights are on time.
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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.
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Question
According to an airline, flights on a certain route are on time
75%
of the time. Suppose
24
flights are randomly selected and the number of on-time flights is recorded.(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly
15 flights are on time.
(c) Find and interpret the probability that fewer than
15 flights are on time.
(d) Find and interpret the probability that at least
15 flights are on time.
(e) Find and interpret the probability that between
A.
B.
C.
D.
E.
F.
G.
13 and 15 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
There are two mutually exclusive outcomes, success or failure.
The trials are independent.
The experiment is performed a fixed number of times.
Each trial depends on the previous trial.
The probability of success is the same for each trial of the experiment.
There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
The experiment is performed until a desired number of successes is reached.

Transcribed Image Text:ex
und to
imol
Expert Solution
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