Math Problem Statement
According to flightstats.com, American Airlines flights from Dallas to Chicago are on time
8080%
of the time. Suppose
2525
flights are randomly selected, and the number of on-time flights is recorded. Using the binomial distribution, determine the values of n and p.
nequals=2525
(Type an integer or a decimal. Do not round.)
Part 3
pequals=. 80.80
(Type an integer or a decimal. Do not round.)
Part 4
(c) Using the binomial distribution, the probability that exactly
1717
flights are on time is
. 0623.0623.
(Round to four decimal places as needed.)
Part 5
Interpret the probability.
In 100 trials of this experiment, it is expected that about
66
will result in exactly
1717
flights being on time.
(Round to the nearest whole number as needed.)
Part 6
(d) Using the binomial distribution, the probability that fewer than
1717
flights are on time is
. 0468.0468.
(Round to four decimal places as needed.)
Part 7
Interpret the probability.
In 100 trials of this experiment, it is expected that about
55
will result in fewer than
1717
flights being on time.
(Round to the nearest whole number as needed.)
Part 8
(e) Using the binomial distribution, the probability that at least
1717
flights are on time is
. 9532.9532.
(Round to four decimal places as needed.)
Part 9
Interpret the probability.
In 100 trials of this experiment, it is expected that about
9595
will result in at least
1717
flights being on time.
(Round to the nearest whole number as needed.)
Part 10
(f) Using the binomial distribution, the probability that between
1515
and
1717
flights, inclusive, are on time is
enter your response here.
(Round to four decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
P(a ≤ X ≤ b) = sum of binomial probabilities for each k between a and b
Theorems
Binomial Theorem
Suitable Grade Level
Grades 11-12
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