Question

American Airlines' flights from Boston to Atlanta are on time 70% of the time. Suppose 8...

American Airlines' flights from Boston to Atlanta are on time 70% of the time. Suppose 8 flights are randomly selected, and the number on-time flights is recorded. Use the binomial distribution to compute the following.

(a) The probability that exactly 2 flights are on time is

(b) The probability that more than 7 flights are on time is

(c) The probability that at most 4 flights are on time is

Round all answers to at least 4 decimal places.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given:

American Airlines' flights from Boston to Atlanta are on time 70% of the time.

p = 0.70

n = 8

X~Binomial(n=8, p=0.70)

Therefore

a) The probability that exactly 2 flights are on time is 0.0100

(b) The probability that more than 7 flights are on time is 0.0576

(c) The probability that at most 4 flights are on time is 0.1941

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