In: Statistics and Probability
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
It is estimated that 3.8% of the general population will live past
their 90th birthday. In a graduating class of 714 high school
seniors, find the following probabilities. (Round your answers to
four 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