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 isestimated that 3.5% of the general population will live past their90th birthday. In a graduating class of 781 high school seniors,find the following probabilities. (Round your answers to fourdecimal places.) (a) 15 or more will live beyond their 90thbirthday (b) 30 or more will live beyond their 90th birthday (c)between 25 and 35 will live beyond their 90th birthday (d) morethan 40 will live beyond their 90th birthday