Thank you An airliner wants to know the probability of on time flights for its f
ID: 3151733 • Letter: T
Question
Thank you An airliner wants to know the probability of on time flights for its flights 215 from Orlando to LA. It selects 20 flights randomly. If 92% of the flights are on time, a) Find the probability that exactly 6 flights are on time. b) Find the probability that at least 3 flights are on times. 5) If 80% of smokers started smoking before turning 18 years old, and 12 smokers 18 or older are randomly selected: a) Find the probability that exactly 7 of them started smoking before 18 years of age b) Find the probability that at least 7 of them started smoking before 18 years of ageExplanation / Answer
4.
a)
Note that the probability of x successes out of n trials is
P(n, x) = nCx p^x (1 - p)^(n - x)
where
n = number of trials = 20
p = the probability of a success = 0.92
x = the number of successes = 6
Thus, the probability is
P ( 6 ) = 1.03364*10^-11 [ANSWER]
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b)
Note that P(at least x) = 1 - P(at most x - 1).
Using a cumulative binomial distribution table or technology, matching
n = number of trials = 20
p = the probability of a success = 0.92
x = our critical value of successes = 3
Then the cumulative probability of P(at most x - 1) from a table/technology is
P(at most 2 ) = 2.92364E-18
Thus, the probability of at least 3 successes is
P(at least 3 ) = 1 [ANSWER]
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[I also find it weird that the answers here are so close to 0 and 1. It doesn't make the problem invalid, just unusual. These are the exact answers. Thanks!]
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