SOLUTION: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 78.2% of the time.
Suppose 15 of these flights are randomly selected and the number of
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Suppose 15 of these flights are randomly selected and the number of
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Question 1197156: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 78.2% of the time.
Suppose 15 of these flights are randomly selected and the number of on-time flights is recorded.
Calculate the probability that 9 or fewer of the selected flights were on time. Enter your answer as a decimal rounded to four decimal places.
It is a standard binomial distribution problem.
Number of trials is 15; number of success trials <= 9; the probability of each success trial is p=0.782.
The standard formula is
P = P(n=15; k <= 9; p= 0.782) = = .
To facilitate my calculations, I used online calculator at this site https://stattrek.com/online-calculator/binomial.aspx
It provides nice instructions and a convenient input and output for all relevant options/cases.
The resulting number is P = 0.08719 (rounded). ANSWER
