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According to American Airlines, Flights 215 from Orlando to Los Angeles is on time 92% of...

According to American Airlines, Flights 215 from Orlando to Los Angeles is on time 92% of the time. Randomly select 150 flights and use the normal approximation to the binomial to approximate the probability that less than 125 flights are on time.
Math   Statistics-And-Probability   
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Answer #1

n = 150

p = 0.92

= np = 150 * 0.92 = 138

= sqrt(np(1 - p))

    = sqrt(150 * 0.92 * (1 - 0.92))

    = 3.3226

P(X < 125)

= P((X - )/< (124.5 - )/)

= P(Z < (124.5 - 138)/3.3226)

= P(Z < -4.063)

= 0

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