The answers are obtained using R software. The code and output
are attached below.
I Let the monthly Mility bills in the city be a random variable denoted by x. We know, x N N (100, 14). To find : 2) PC X366) = P(x-100 156-100) 14 apf & T-2-42857) - where <= x-100 b z nico, in 14 - PlX <66) = 0.00 7579 Came) LPf84 SX S100) = {(84-100 < x-100 (100-1001 14 14 14 Plal: 1428572 Zko) 3. Pfk 20) - P(Z <=1.142857) a 0 0 5 -0.12 6549 * P(84 < X <100) = 0.373451 Cane) e) PCX > 110) E I-P (X (110) - |- P(*400 < -1,-100) el-el ka oo 7142857) al - 0176 24747 = P(x7 110) = 0.2375253 lors)