Pre-manufactured wooden roof trusses allow builders to complete projects faster
ID: 3128870 • Letter: P
Question
Pre-manufactured wooden roof trusses allow builders to complete projects faster and with lower on-sit labour costs. The connector plates for trusses are made from Grade A steel and are hot-dip The thickness of a truss connector (in inches) varies slightly and has a uniform distribution 036 and 0.050 inches. Define the appropriate random variable State the distribution of the random variable (in proper distribution notation) That is the probability a truss connector will be between 0.042 and 0.045 inches thick? How thick can a truss connector be to be in the lowest 10% of all connectors? Calculate the mean, variance, and standard deviation of the truss connector thickness.Explanation / Answer
1) X be the randome variable with thickness of the truss conector.
2) X~ U(0.036, 0.05)
3) P(0.042<X<0.045) = 1/0.014 * (0.003) = 0.214
5) mean = (0.036+0.05)/2 variance = (0.05-0.036)^2 / 12 & s.d = sqrt( variance)
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