Sample Exam 2
MA 2071 C01-C05 - Matrices & Linear Algebra I
Worcester Polytechnic Institute
C-Term, Spring 2013
Prof. B.S. Tilley
There are five problems to be solved, each worth 20 points. each. You should have ample room
on these sheets to complete your

MA 2621: Probability for Applications
Homework 3
Due on Feb. 2 in class
Please staple your work before submission. Indicate your section number.
1. Each time a component is tested, the trial is a success (S) or failure (F ). Suppose the component is
teste

Chapter 1
Basic Concepts
1.1
Experiment, sample space, and events
Definition 1.1 (Experiment) An experiment is a process that generates distinct and well-defined outcomes.
Examples of experiment: flip a coin, roll a die, roll two dice, randomly sample an

Chapter 1
Basic Concepts
1.1
Experiment, sample space, and events
Definition 1.1 (Experiment) An experiment is a process that generates distinct and well-defined outcomes.
Examples of experiment: flip a coin, roll a die, roll two dice, randomly sample an

MA 2621: Probability for Applications
Homework 1
Due on January 21 in class
Please staple your work before submission.
Total: 60 points.
1. Consider the experiment of rolling two dice.
(a) List all the outcomes in the event E := cfw_the sum of the two dic

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ES 3004-A01 [CRN 10090] Name:
Quiz 1
1. A ﬂow is described by the velocity ﬁeld, i? = ax? + 323%}, where a: Is”, and b = 2mzf‘.
(a). Obtain the equation (Le. y=y(x) of the streamline passing through point (X0, yo).
(b). Calculate the time required for a

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ES 3004-A01 [CRN 10087] Name: dei’m“
Quiz 3
l. [20 points] Multiple choice problems. (4 points for each problem)
1) For steady ﬂow of an incompressible liquid in a pipe, which of the following is true for
the entrance region:
A The average velocity

Lecture 3 - Some (relatively) simple applications
Mixtures:
Suppose a tank contains Q0 lbs of salt dissolved in 100 gal of water at time t = 0. Water
containing 1/4 lb of salt/gal enters the tank at a rate of r gal/minute, and r gal/minute of
the well-sti