Recall Problem 5.1.15, where mechanical components have a width that is normally distributed with a mean u = 2600 and a standard deviation σ = 0.6. In an assembly procedure, four of these components need to be fitted side by side into a slot in another part.
(a) Suppose that the slots have a width of 10,402.5. What proportion of the time will four randomlv selected components be able to fit into a slot?
(b) More generally, suppose that the widths of the slots vary according to a normal distribution with mean μ = 10,402.5 and standard deviation σ = 0.4. In this case, what proportion of the time will four randomly selected components be able to fit into a randomly selected slot?