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The U.S. Department of Transportation recently reported that 80.5% of U.S. airline flights arrived on time. Find the pro...

The U.S. Department of Transportation recently reported that 80.5% of U.S. airline flights arrived on time. Find the probability that among 12 randomly selected flights, exactly 11 arrive on time. Does that probability apply to one individual who must make 12 flights originating in New York? Explain.

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Answer #1

Answer:

Given,

p = 0.805

n = 12

consider,

Binomial distribution

P(X = r) = nCr*p^r*q^(n-r)

P(X = 11) = 12C11*0.805^11 * (1-0.805)^(12-11)

= 12*0.805^11*0.195

= 0.2153

No, the flights are not randomly selected , the probability of on time 0.805 is not applicable.

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