Math 300 , Spring 2004, Day 30, F, April 16 Hit reload...After class

Go Amanda! (Science Colloq today...)
Mini-exam due Monday.
Variance of uniform: it was pointed out that you need to know b3 - a3 = (b - a)(b2 + ab+ a2).
This is a special case of  bn - an = (b - a)(bn-1 + abn-2+ ...+ an-2b + an-1).
(Which we saw used to develop the geometric series, with b = 1, a = x)

Functions of Random Variables:  See Day 29.
Handouts:
--Two sided, the Lognormal distribution (W is lognormal, X = ln(W) is normal.  W = eX)
    Skewed data often "turns normal" when you do a logarithm to it.  If so, the original data is "lognormal."
          More about application next time.
    This handout  has homework problems in the corner.
-- One sided, deals with someY = -X questions.

HWI think this is the easiest sequence.  You may feel differently.  Feel free to vary.
For the weekend:
Do B from the handout (Discrete) (to hand in Friday)
 Then do (B, C,, parts a,b,c)  D from Day 29.

Then (optional for the weekend) do D from the handout (any method the CDF method) (to hand in)
- - - - - - - - - - -
For the rest, wait till we've looked at the Density method:
   (Day 29 B,C, parts d), D from the handout by the Density method if you didn't do it by the CDF method.
Then do A and C  from the handout (to hand in)
#1, 3, 5 from the text are more complicated because the functions are defined much more piecewise.  Work on them, and use the answers, till you understand them..



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