Solve According to an airline, flights on a certain route are on time 80% of the

Question

Solve According to an airline, flights on a certain route are on time 80% of the time. Suppose 17 flights are randomly selected and the number of on time flights is recorded. Use technology to find the probabilities. Use the Tech Help button for further assistance. (a) Determine whether this is a binomial experiment (b) Find and interpret the probability that exactly 15 flights are on time. (c) Find and interpret the probability that at least 15 flights are on time (d) Find and interpret the probability that fewer than 15 flights are on time. (e) Find and interpret the probability that between 14 and 16 flights, inclusive, are on time. (a) Does the probability experiment represent a binomial experiment?

Explanation / Answer

Solution:- p = 0.80, n = 17

Solution:-
a) -> the trails are independent
-> tere are two outcomes
  
b) P(X = 15) = 0.1914

c) P(at least 15) = P(15)+P(16)+P(17)
= 0.1914+ 0.0957+0.0225
= 0.3096

d) P(fewer than 15) = P(14) + P(13) + ... + P(0) = 0.6904

e) P(14 < = x < = 16) = P(14) + P(15) + P(16)
= 0.2393 + 0.1914 + 0.0957
= 0.5264

  

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