Manufacturing and Product Development Premanufactured wooden roof trusses allow builders to complete projects faster and with lower on-site labor costs. The connector plates for trusses are made from Grade A steel and are hot-dip galvanized. The thickness of a truss connector (in inches) varies slightly and has a uniform distribution with a = 0.036 and b = 0.050.
a. If the manufacturer will only use connectors with a minimum thickness of 0.04 inch, what proportion of connectors is rejected?
b. Suppose a truss connector is selected at random. Find the probability that the truss connector has a thickness between 0.042 and 0.045 inch.
c. Find the mean, variance, and standard deviation of the thickness of a truss connector.