Question

A factory machine produces touch screens. The area of the screens produced follows a Normal distribution with mean 143 in- and standard deviation 0.5 in. (a) [2pts) Approximately what percent of screens produced are between 141.5 and 144.5 in? (b) (5pts) What percent of screens produced are between 142.5 and 143.3 in?

Answer 1

soli mean (1) = 143 Standard deviation (o)= 0.5 Apporóximetely what percent of scopeens produced are between 141.5 and 144.5 PL141.5<< 144,5) PC 141.5 - 143 CX-4 (14415-143 0.5 0.5 P(-3<3<3) P(Z<3) P(Z<-3) 0.0013 =0.9987 0.9974 99.74% Screens aye produced. B P( 142.5<#5143.3) 14:5-1'3 K-44 1433- 113 per 0.5 ♡is P(-15 2 30.06) P[25016) - plz<-1) = 0.7857 - 0.1587 o: 5670 56.70% Bereens alle produced = 1)