Math 1030 EXTRACREDIT ASSIGNMENT Suppose that the wrapper of a certain candy bar

Question

Math 1030 EXTRACREDIT ASSIGNMENT Suppose that the wrapper of a certain candy bar lists its weight as 2.13 ounces. Naturally, the weights of individual bars vary somewhat suppose that the weights of these candy bars vary according to a normal distribution, with H 2.2 ounces and 0.04 ounces. a. What proportion of the candy bars weigh less than the advertised weight? 50/. b. What proportion of the candy bars weight between 2.2 and 2.3 ounces? c. A candy bar of what would be heavier than all but of the candy bars out there? weight 1% 2,210. t 4 to. Ae 2,304

Explanation / Answer

as z score =(X-mean)/strd deviation

a) P(X<2.13)=P(Z<(2.13-2.2)/0.04)=P(Z<-1.75)=0.0401

b)P(2.2<X<2.3)=P(0<z<2.5)=0.9938-0.5=0.4938

c)for 1% heavisest candy wil lie above 99 percentile for which z=2.3263

hence corresponding weight =2.2+0.04*2.3263=2.29

d)for 0.001; z=-3.0902

hence corresponding weight =2.13+0.04*3.0902=2.25

e)for above std deviation =(2.2-2.13)/3.0902=0.02265

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