Continuous_RV_Classwork.doc - Ch15 Continuous Random Variables Classwork Name 1 The article Modeling Sediment and Water Column Interactions for

# Continuous_RV_Classwork.doc - Ch15 Continuous Random...

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Ch15 Continuous Random Variables Classwork Name: ___________________________________ 1. The article “Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants” suggests the uniform distribution on the interval 7.5 to 20 as a model for x= depth (cm) of the bioturbation layer in sediment for a certain layer (Please don’t ask me what the bioturbation layer is!). A) Draw a density curve. B) What is the probability that x is at most 12? Show your work! 2. Let x= the amount of gravel sales (tons) during a randomly selected week at a particular sales facility. Suppose that the density curve has height f(x) above the value x, where: 2(1 ) 0 1 ( ) 0 x where x f x otherwise A) Draw the curve B) Find .5 P x C) Find .25 .5 P x 3. A personal computer salesperson working on a commission receives a fixed amount for each system sold. Suppose that for a given month, the probability distribution of x= the number of systems sold is given below: X 1 2 3 4 5 6 7 8 P(X) .05