According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 20 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 12 flights are on time. probability that fower than 12 flights are on time

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 20 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 12 flights are on time.
(d) Find and interpret the probability that fewer than 12 flights are on time.
(e) Find and interpret the probability that at least 12 flights are on time.
(f) Find and interpret the probability that between 10 and 12 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. The experiment is performed a fixed number of times.
B. The probability of success is different for each trial of the experiment.
C. The trials are independent.
D. The experiment is performed until a desired number of successes are reached.
E. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late.
F. Each trial depends on the previous trial.
G. The probability of success is the same for each trial of the experiment.
H. There are two mutually exclusive outcomes, success or failure.
Transcribed Image Text:According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 20 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 12 flights are on time. (d) Find and interpret the probability that fewer than 12 flights are on time. (e) Find and interpret the probability that at least 12 flights are on time. (f) Find and interpret the probability that between 10 and 12 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. The experiment is performed a fixed number of times. B. The probability of success is different for each trial of the experiment. C. The trials are independent. D. The experiment is performed until a desired number of successes are reached. E. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late. F. Each trial depends on the previous trial. G. The probability of success is the same for each trial of the experiment. H. There are two mutually exclusive outcomes, success or failure.
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