Suppose the force acting on a column that helps to support a

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 19.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables. (Round your answers to four decimal places.)

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 19.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables. (Round your answers to four decimal places.) (c) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = 2,666 thousand gallons V(X) = 0627 thousand gallons squared (d) If 1.6 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1.6 thousand gallons is expected to be left at the end of the week? [Hint: Let h(x) = amount left when demand = x.) (Round your answer to three decimal places.) .014 thousand gallons The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf. f(x) =

Solution

d) 148.413

e) meanx =5 ,s² =0.00081

p(x >=125) =1

f) minimum acceptable strength = 127.991