According to an airline. flights on a certain route are on time 75% of the time

Question

According to an airline. flights on a certain route are on time 75% of the time Suppose 8 (lights 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 Determine whether this is a binomial experiment Find and interpret the probability that exactly 6 flights are on time Find and interpret the probability that at least 6 flights are on time Find and interpret the probability that fewer than 6 flights are on time Find and interpret the probability that between 4 and 6 flights inclusive are on time Does the probability experiment represent a binomial experiment?

Explanation / Answer

a)

yes this is a binomial experiment

b)

P(X=6)

= 8C6 * 0.75ˆ6 * 0.25ˆ2

= 0.3115

c)

P(X>=6) = 0.6785

d)

P(X<6) = 1 - P(X>=6)

= 0.3215

e)

P(4 < x < 6)

= P(X <=6) - P(X <=4)

= 0.3215 - 0.1138

= 0.2077

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