Question

Question 1. (L.0.1.1, L.0.1.2, L.0.1.3, L.O.2.1, L.0.2.3).. Total: 15 points A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, (a) (10 points) What percentage of resistors will have a resistance exceeding 42 ohms? (b) [5 points) What is the distribution of the total resistance of a circuit with two resistors con- nected in series?

Answer 1

solution :- l = 40 T = 2 Xa Normal distrib ༨༢ - Z = X-M - a) Plx > 42) = P12) 42-40) - P1221) - 1-Plze) 15.87 / OAV0001 (FERSL-ooot FESSIOOET CO2 b) X=x,+ X2 X ~ X Normal distribution o) lx= Elx,+x2) = 40+ 40 = 80 Sy 22 2 ² + 22 Pfa.