The normal approximation to the binomial , Mathematics

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A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that

 

a)      At least 800 flights are on time.

 

b)      Between 765 and 790, inclusive are on time. (i.e. at least 765 but no more than 790 are on time).

 


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