Homework SoursePremanufactured wooden roof trusses allow builders to comple
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 = 0.05. Fill in the blank. (Give your answer to four decimal places.) Suppose the manufacturer will only use connectors with a minimum thickness of 0.04 inches. The proportion of connectors rejected is. in the blank. (Give your answer to seven decimal places.) The variance of the thickness of a truss connector is .
Solution
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 = 0.05. Fill in the blank.
(Give your answer to four decimal places.) Suppose the manufacturer will only use connectors with a minimum thickness of 0.04 inches.
The proportion of connectors rejected is. 0.2857
( P( x <0.04) =0.2857)
(Give your answer to seven decimal places.)
The variance of the thickness of a truss connector is .
Variance = (b-a)2/12 = 0.0000163
