Mathematics 134 -- Intensive Calculus for Science 2
Quiz 7
April 3, 2002
The seventh regular quiz of the semester will be given during
the first 20 minutes of class on
Friday, April 5. It will cover the material on probability
density and cumulative distribution functions from sections 8.6 and 8.7,
plus the material on geometric series from section 9.1.
Calculators and the table of integrals will be
allowed on this quiz. You should
know:
- What properties a function must have to be
a probability density function (pdf) (p(x) >= 0
for all x, and total area between graph of p(x)
and x-axis = 1).
- How to use the probability density function (pdf) p(x)
for a random variable x to find the fraction of
a population for which a <= x <= b (this is the same
as the probability that a randomly chosen individual from
the population will have a <= x <= b)
- How the cumulative distribution function (cdf)
P(t) and the probability density function are related
(P is an antiderivative of p), and the properties
a function P(t) must have to be a cdf (P(t) positive and
always increasing from 0 to 1).
- The mean of a random variable with given pdf -- what it
means and how to find it.
- Geometric series -- know how to recognize an infinite
geometric series, identify the first term (a) and
common ratio (x), and determine the sum a / (1-x)
when |x| < 1.
On the quiz, there will be three problems similar to questions
from this week's problem assignment.
Good review problems: Section 8.6/15, 16; Section 8.7/5; Section 9.1/6-14.