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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