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In the following problem, check that it is appropriate to use the normal approximation to the...

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Statistics

In the following problem, check that it is appropriate to usethe normal approximation to the binomial. Then use the normaldistribution to estimate the requested probabilities.

It is estimated that 3.8% of the general population will livepast their 90th birthday. In a graduating class of 728 high schoolseniors, find the following probabilities. (Round your answers tofour decimal places.)

(a) 15 or more will live beyond their 90th birthday

(b) 30 or more will live beyond their 90th birthday

(c) between 25 and 35 will live beyond their 90th birthday

(d) more than 40 will live beyond their 90th birthday

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