### Calculations with Normal Distributions

3.6-16 If the moment-generating function of X is M(t) = e^(500t+5000t^2), find P[27,060 (less than or equal to) (X-500)^2 (less than equal to) 50,240] 3.6-17 If X is N(7,4), find P[15.364 (less than or equal to) (X-7)^2 (less than or equal to) 20.096]. 3.6-18 The strength X of a certain material is such that its distributi