(a) Identify the statements that explain why this is a binomial experiment. Select all that apply. O A. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. B. The trials are independent. O C. The experiment is performed until a desired number of successes is reached. D. The experiment is performed a fixed number of times. E. Each trial depends on the previous trial. O F. The probability of success is the same for each trial of the experiment. O G. There are two mutually exclusive outcomes, success or failure. (b) The probability that exactly 10 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in exactly 10 flights being on time. (Round to the nearest whole number as needed.) (c) The probability that fewer than 10 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about | to result in fewer than 10 flights being on time. (Round to the nearest whole number as needed.)

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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Please answer A, B and C

According to an airline, flights on a certain route are on time 75% of the time. Suppose 17 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 10 flights are on time.
(c) Find and interpret the probability that fewer than 10 flights are on time.
(d) Find and interpret the probability that at least 10 flights are on time.
(e) Find and interpret the probability that between 8 and 10 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
B. The trials are independent.
C. The experiment is performed until a desired number of successes is reached.
D. The experiment is performed a fixed number of times.
E. Each trial depends on the previous trial.
F.
The probability of success is the same for each trial of the experiment.
G. There are two mutually exclusive outcomes, success or failure.
(b) The probability that exactly 10 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about
to result in exactly 10 flights being on time.
(Round to the nearest whole number as needed.)
(c) The probability that fewer than 10 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about
to result in fewer than 10 flights being on time.
(Round to the nearest whole number as needed.)
Transcribed Image Text:According to an airline, flights on a certain route are on time 75% of the time. Suppose 17 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 10 flights are on time. (c) Find and interpret the probability that fewer than 10 flights are on time. (d) Find and interpret the probability that at least 10 flights are on time. (e) Find and interpret the probability that between 8 and 10 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. B. The trials are independent. C. The experiment is performed until a desired number of successes is reached. D. The experiment is performed a fixed number of times. E. Each trial depends on the previous trial. F. The probability of success is the same for each trial of the experiment. G. There are two mutually exclusive outcomes, success or failure. (b) The probability that exactly 10 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in exactly 10 flights being on time. (Round to the nearest whole number as needed.) (c) The probability that fewer than 10 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in fewer than 10 flights being on time. (Round to the nearest whole number as needed.)
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