6.2.35-T According to an airline, flights on a certain route are on time 80% of
ID: 3361708 • Letter: 6
Question
6.2.35-T According to an airline, flights on a certain route are on time 80% of the time. Suppose 15 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 10 flights are on time (c) Find and interpret the probability that fewer than 10 flights are on time (d) Find and interpret the probability that at least 10 flights are on time (e) Find and interpret the probability that between 8 and 10 flights, inclusive, are on time.Explanation / Answer
a. This is binomial as n is constant, p is same for all, only two outcomes and events are independent.
b. P(x=10)=0.1032
c. P(x<10)=0.0611
d. P(x>=10)=0.9389
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