Question

the probability that the diameter of an aluminum pocket is between 2 mm and 4 mm after two year is 1.9889*10^-4 %

commnent in details about that result?

Answer 1

Sol: The diameter of an aluminium pocket changes with time. Here, after a period of two years, the probability that the diameter of the pocket ranges between 2mm and 4mm is 0.019889. This diameter could be either greater than 4 mm or even less than 2 mm.

Let x= diameter of the pocket after 2 years in mm.

So, P(2<x<4)= 0.019889. This also means that if a million pockets were inspected after 2 years, then only about 19889 of them would have a diameter between 2 and 4 mm. This is also just an approximate and it may happen that the exact number of such pockets would differ but the greater the size of the sample, the closer the probability is to the given number. This is also a very small probability, so most of the pockets inspected would have a diameter outside of this range.