01
(1) Express
(2) Compute
(3) State formula for finding the PDF of
(4) State PDF for
(5) Compute PDF for
02
(1) Recall the definition of
(2) Use
Let
Change the bounds,
(3) Recall that integrating a PDF from
03
(a)
(1) Write desired probability in terms of
(2) Evaluate using a
(b)
(1) Use the
(2) Solve for
(c)
Recall formula for
Plug in
04
(a)
(1) Write desired probability in terms of
(2) Use table to evaluate expression.
(b)
(1) Interpret problem.
Since we wish to find the top
(2) Use lookup table to find
(3) Given that
(c)
(1) Interpret problem.
Since we wish to find the 25th percentile, we wish to find
(2) Use lookup table to find
(3) Given that
06
(1) Find PDF of
If
If
(2) Integrate to find
Since the cost of repairs in uniformly distributed, we have
07
08
(a)
(b)
09
Case 1:
Case 2:
Therefore:
10
Case 1:
Case 2:
Therefore: