Question

In: Math

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

 

According to an airline, flights on a certain route are on time 80% of the time. Suppose 20 fights 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 12 flights are on time. 

(c) Find and interpret the probability that fewer than 12 flights are on time 

(d) Find and interpret the probability that at least 12 flights are on time 

(e) Find and interpret the probability that between 10 and 12 flights, inclusive, are on time. 

 

(a) Identify the statements that explain why this is a binomial experiment Select all that apply 

A. The experimentis performed until a desired number of successes is reached 

B. The probability of success is the same for each trial of the experiment, 

C. There are three mutually exclusive possibly outcomes, arriving on time, arriving early, and arriving late 

D. The experiment is performed a fixed number of times 

E There are two mutually exclusive outcomes, success or failure. 

F. The trials are independent G. Each trial depends on the previous trial

Solutions

Expert Solution

P =0 80, n 20 pradabslityof Roch torul sthe sau The Succe ss В. 9the Binomial lihibuckon Px)= -P 20-12 200-80) 10-80) Plx 12)


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