Math 462 / 562
Exam 3
Fall 2012
Name: _ This exam is closed book. Show your work so I can
see how you arrived at your answers. You may use a calculator and the formulas handed out along
with the exam. Hand in this exam along with your answers.
1. Let A =
3.10 Standard deviations and variances
If we have some measurements x1, x2, . , xn then their average = is a measure of where their "center"
is. The standard deviation and variance give us measures of how spread out the data is. The variance,
s2, is the a
Math 462 / 562
Final Exam
Fall 2008
Name: _ This exam is closed book. Show your work so I can see how
you arrived at your answers. You may use a calculator and the formulas handed out along with the exam.
Hand in this exam along with your answers.
1. Paul
Math 462 / 562
Final Exam
Fall 2012
Name: _ This is a closed book exam. You may use a calculator and the formulas
handed out with the exam. Show all work and explain any reasoning which is not clear from the computations. Turn in
this exam along with your
Formulas
Trigonometric Identities:
sin(x+y) = sin x cos y + cos x sin y
sin x sin y =
cos(x+y) = cos x cos y - sin x sin y
cos x cos y =
sin x cos y =
sin2x =
cos2x =
sinh x = (e x - e-x)
cosh x = (e x + e-x)
Curves:
+ = 1
ellipse
- = 1hyperbola
Derivativ
Math 462 / 562
Exam 3
Fall 2008
Name: _ This exam is closed book. Show your work so I can
see how you arrived at your answers. You may use a calculator and the formulas handed out along
with the exam. Hand in this exam along with your answers.
1. Let A =
3.9 Sums of exponential random variables and the Poisson distribution.
We have seen how exponential random variables arise when we are modeling the time that it takes until
something occurs. In particular, they are used to model the times between successi
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