According to an airline, flights on a certain route are on time 85% of the time. Suppose 25 flights are randomly selected and the number of on-time fli (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 17 flights are on time. (c) Find and interpret the probability that fewer than 17 flights are on time. (d) Find and interpret the probability that at least 17 flights are on time. (e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. Each trial depends on the previous trial. The probability of success is the same for each trial of the experiment. The trials are independent. D. The experiment is performed until a desired number of successes is reached. A. B. Гус (...)

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 an airline, flights on a certain route are on time 85% of the time. Suppose 25 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 17 flights are on time.
(c) Find and interpret the probability that fewer than 17 flights are on time.
(d) Find and interpret the probability that at least 17 flights are on time.
(e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. Each trial depends on the previous trial.
B.
The probability of success is the same for each trial of the experiment.
C.
The trials are independent.
D.
The experiment is performed until a desired number of successes is reached.
IIE. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
IVF.
There are two mutually exclusive outcomes, success or failure.
G. The experiment is performed a fixed number of times.
(b) The probability that exactly 17 flights are on time is 0.0175.
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about 2 to result in exactly 17 flights being on time.
(Round to the nearest whole number as needed.)
C...
(c) The probability that fewer than 17 flights are on time is
(Round to four decimal places as needed.)
Transcribed Image Text:According to an airline, flights on a certain route are on time 85% of the time. Suppose 25 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 17 flights are on time. (c) Find and interpret the probability that fewer than 17 flights are on time. (d) Find and interpret the probability that at least 17 flights are on time. (e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. Each trial depends on the previous trial. B. The probability of success is the same for each trial of the experiment. C. The trials are independent. D. The experiment is performed until a desired number of successes is reached. IIE. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. IVF. There are two mutually exclusive outcomes, success or failure. G. The experiment is performed a fixed number of times. (b) The probability that exactly 17 flights are on time is 0.0175. (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about 2 to result in exactly 17 flights being on time. (Round to the nearest whole number as needed.) C... (c) The probability that fewer than 17 flights are on time is (Round to four decimal places as needed.)
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