MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Estimation
A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
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According to an airline, flights on a certain route are on time 85% of the time. Suppose 13 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 9 flights are on time. (c) Find and interpret the probability that fewer than 9 flights are on time. (d) Find and interpret the probability that at least 9 flights are on time. (e) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. There are two mutually exclusive outcomes, success or failure. B. Each trial depends on the previous trial. C. The experiment is performed a fixed number of times. D. The experiment is performed until a desired number of successes is reached. E. The probability of success is the same for each trial of the experiment. F. The trials are independent. G. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. (b) The probability that exactly 9 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 9 flights being on time. (Round to the nearest whole number as needed.) (c) The probability that fewer than 9 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 9 flights being on time.
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Transcribed Image Text:According to an airline, flights on a certain route are on time 85% of the time. Suppose 13 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 9 flights are on time. (c) Find and interpret the probability that fewer than 9 flights are on time. (d) Find and interpret the probability that at least 9 flights are on time. (e) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. There are two mutually exclusive outcomes, success or failure. B. Each trial depends on the previous trial. C. The experiment is performed a fixed number of times. D. The experiment is performed until a desired number of successes is reached. E. The probability of success is the same for each trial of the experiment. F. The trials are independent. G. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. (b) The probability that exactly 9 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 9 flights being on time. (Round to the nearest whole number as needed.) (c) The probability that fewer than 9 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 9 flights being on time.
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