Question 6 Find the value of x. 20 40

the probability that the average mileage of the fleet us between 27.2 and 28.8  will be:
27.2<x<28.8
this will be:
P(x<28.8)-P(x<27.2)
To evaluate this we use the z-score formula:
P(x<28.2)=P(z<Z)
Z=(x-μ)/σ
μ-mean
σ-standard deviation
thus
z=(28.2-28)/5=0.04
thus
P(x<28.2)=0.5160

p(x<27.2
z=(27.2-8)/5=-0.16
P(z<-0.16)=0.4364
thus
P(x<28.8)-P(x<27.2)=0.5160-0.4364=0.0796

0.0796