Question

# According to an​ airline, flights on a certain route are on time 8585​% of the time....

According to an​ airline, flights on a certain route are on time

8585​%

of the time. Suppose

88

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

66

flights are on time.

​(c) Find and interpret the probability that at least

66

flights are on time.

​(d) Find and interpret the probability that fewer than

66

flights are on time.

​(e) Find and interpret the probability that between

55

and

77

​flights, inclusive, are on time.

According to an​ airline, the probability of flights on a certain route are on time is 0.85 .

Suppose 88 flights are randomly selected and recorded .

(a) Yes , it is definitely follow Binomial distribution with parameters n=88 and p=0.85 .

(b) probability that exactly 66 flights are on time = 0.0049

(c) probability that at least 66 flights are on time = 0.9953

(d) probability that fewer than 66 flights are on time.= 0.0046

(e) probability that between 55 and 77 = 0.7863

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