Question

2. Assuming that the weights of newborn babies at a certain hospital are normally distributed with mean 6.7 pounds and standard deviation 1.2. Use this information to label the graph and answer the following questions. 68% of the babies will weigh between pounds. 95% of the babies will weigh between pounds. Almost all babies will weigh between pounds. How many babies in a group of 80 from this hospital are expected to weigh more than 7.9 pounds?

Answer 1

Solution Given thah I.2 -2 - 3 1 2. 4.3 3.1 SS 6.2 S.1 10.3 Using Empiricl rule a) p (u-0 <uTor 68 ' FP(6.7-1.2 <x6.4+1.2)61 PCS.5 7.9)- 68 68.% 0t the babies uoill weigh behween S.s and 2.9 Pounds. plu-25 T2) -95 P( 6.4-212 6. +2X1.2) =95% p(6.-2.4 6. +2.4)95 P4.3 <x<g.1) gSy Ss. ot the babies oill weigh betweeh .3 and 9.1 Pourds

P(u-30 x <E+3o) 99- P(6.1-3XI-2X<6. + 3X12)99-7% p(6.4-3. 6<X<6.7+36)- 99.7 -P(3.1<X 10.3)- 99.7 1 AImast all bubies will weigh between and 10.3 pounds 3.1 7.9-6 1- p 2 12 Csing Eable =1-o.8413 =O.IS87 OIS87X8012.70 13 babies