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5. 0/0.38 points Previous Answers BBUnderStat12 6.6.009.MI. My Notes Ask Your Teacher 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 3.5% of the general population will live past their 90th birthday. In a graduating class of 785 high school seniors, find the following probabilities. (Round your answers to four decimal places.) (a) 15 or more will live beyond their 90th birthday 1.0000 (b) 30 or more will live beyond their 90th birthday 1.0000 (c) between 25 and 35 will live beyond their 90th birthday 0.6127 (d) more than 40 will live beyond their 90th birthday 1.000 Need Help? Read It Master it Submit Answer Practice Another Version Viewing Saved Work Revert to Last Response

Answer 1

Normal of appooximation to the Binomial distribution is. If XN BCD:P) theng X-DP NN011). = TOPCI-P) 1-p=0.065, Hese p= 0.03s 12785 = a) PC is or more will live beyond their goth Birthday.) a PCX75 :: P Y X-785(0.035) > 15 - 185(0.035) N A 80X0:035X0.065 Tis5X0.025 JM1X0.065) P(277-9.33 ) ř I

to e (between a5 and or will live beyond their goth Birthday SP(255X ¢35) e Pl_25-1890.035) 52€ 3)=0-035*7857 \1785 X01035x0.065 1 785x0.03 x0.0657 =P(25536) - P(Z <-2.475) = 0.9999 - 003201 - = o.g6798 3 To.9680 ' b) pr 30 or more will live beyond goth brothday) = P CX7,30) e pe 2? 30 - 785(0.035) 178580035 X 6.065 - P(Z)1188) - 1-PC251-88) = ag 706 = 0.02942 De (40 will live beyond goth Birtelen) t = p(x740) Lap (7740)