Bottle caps are manufactured so that their inside diameters have a distribution that is approximately N(36mm, 0.99 mm). The distribution of the outside diameters of bottles is approximately N(35mm, 1.22 mm).

What is the average difference between the bottle cap and the bottle ? mm

What is the standard deviation of the difference between the bottle cap and the bottle? round to 2 decimal places mm 

If a bottle cap and a bottle are selected at random, what is the probability the cap will fit on the bottle? round to 2 decimal places