Question

According to a flight statistics​ website, in​ 2009, a certain airline had the highest percentage of​...

According to a flight statistics​ website, in​ 2009, a certain airline had the highest percentage of​ on-time flights in the airlines​ industry, which was 81.2​%. Assume this percentage still holds true for that airline. Use the normal approximation to the binomial distribution to complete parts a through c below.

Determine the probability​ that, of the next 30 flights from this​ airline, less than 24 flights will arrive on time.

The following information about the Binomial distribution is provided:

The population proportion of success is , and the sample size is . We need to compute

The population mean is computed as:

and the population standard deviation is computed as:

Therefore, we get that

so then, we conclude that , which ends the calculation of the requested probability

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