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

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- Summer '16
- Calculus