Question

according to flightstats.com, american airlines flights from dallas to chicago are on time 80% of the time. suppose 15 flights are randomly selected, and the number of on - time flights is recorded.
(a) explain why this is a binomial experiment.
(b) determine the values of n and p.
(c) find and interpret the probability that exactly 10 flights are on time.
(d) find and interpret the probability that fewer than 10 flights are on time.
(e) find and interpret the probability that at least 10 flights are on time.
(f) find and interpret the probability that between 8 and 10 flights, inclusive, are on time.
d. the probability of success is the same for each trial of the experiment.
e. each trial depends on the previous trial.
f. the probability of success is different for each trial of the experiment.
g. the trials are independent.
h. the experiment is performed until a desired number of successes are reached.
(b) using the binomial distribution, determine the values of n and p.
n = (type an integer or a decimal. do not round.)

Explanation:

Step1: Determine \(n\)

\(n\) represents the number of trials. Here, 15 flights are selected, so \(n = 15\).

Step2: Determine \(p\)

\(p\) is the probability of success (a flight being on - time). Given that flights are on time 80% of the time, so \(p=0.8\).

Answer:

\(n = 15\), \(p = 0.8\)