$2.$ Calculate the expected widget $($system$)$ reliability using the component reliabilities provided.

a$)$ Desired Width of Spinner Part $2$: The desired width is specified as $0\mathrm{.}250$ inches.

b$)$ Customer Return Threshold: The customer return threshold is given as $\backslash$pm $0\mathrm{.}05$ inches. This means that any Spinner Part $2$ with a width outside the range of $0\mathrm{.}200$ inches to $0\mathrm{.}300$ inches is considered defective and likely to lead to a customer return.

c$)$ Cost of a Customer Return: The cost of a customer return is $$10\mathrm{.}00.$ This is the cost incurred when a customer returns a defective product.

d$)$ Cost to Resolve Defects When Found: The cost to resolve defects when found is $$3\mathrm{.}00.$ This is the cost incurred to fix a defective Spinner Part $2$ before it reaches the customer.