According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 25 flights are randomly selected and the number of​ on-time flights is recorded. N=25 P=0.75 ​(c) Find and interpret the probability that exactly 14 flights are on time. ​(d) Find and interpret the probability that fewer than 14 flights are on time. ​(e) Find and interpret the probability that at least 14 flights are on time.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 25 flights are randomly selected and the number of​ on-time flights is recorded.

N=25

P=0.75

​(c) Find and interpret the probability that exactly 14 flights are on time.

​(d) Find and interpret the probability that fewer than 14 flights are on time.

​(e) Find and interpret the probability that at least 14 flights are on time.

​(f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.

 

(c) The probability that exactly 14 flights are on time is ____?  ​(Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed)

(d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected that about ____ will result in fewer than 14 flights being on time.  (Round to the nearest whole number as​ needed.)

​(e) The probability that at least 14 flights are on time is ____? (Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected that about ____ will result in at least 14 flights being on time.  (Round to the nearest whole number as​ needed.)

​(f) The probability that between 12 and 14 ​flights, inclusive, are on time is _____? (Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected that about ____ will result in between 12 and 14 ​flights, inclusive, being on time.    (Round to the nearest whole number as​ needed.)  

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