1. Suppose we have a function K f(x) in [1,2]. (a) Determine the value of the constant K that makes f a probability density function. (b) Compute P(X > 1.2).

Johnson Filtration, Inc., provides maintenance service for water-filtration systems throughout southern Florida. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Time bo + b₁ Months + b₂ Type + b3 Person Round your answers to three decimal places. bo b₁ b₂ b3 Repair Time in Hours 2.8 3.0 4.7 1.9 2.9 4.8 4.2 4.9 4.3 4.4 0000 Months Since Last Service 2 6 8 3 a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. Assume that ₂ = 1 if the type of repair is electrical and 3 = 1 if Dave Newton performed the service. Enter negative value as negative number. 2 7 9 8 4 6 Type of Repair Electrical Mechanical Electrical Mechanical…

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I have attached a picture of the question. Please answer section C and D of the question.