Stat 211 - Tutorial 1
1. A closing price (in dollars) at Dec 31, 2011 of 30 stocks in a portfolio are given below: 52.78 55.88 51.12 48.27 40.72 52.39 49.82 51.69 54.59 55.85 47.59 52.48 54.60 57.19 4
Eduardo Martin-Martinez - Math 211 Sec 1
1
The Laplace Transform
The Laplace transform is a linear mathematical transformation (takes functions as an input and returns
functions as an output)
The Lapl
Eduardo Martin-Martinez - Math 211 Sec 1
1
The Harmonic Oscillator
There is a physical reason why second order linear ODEs with constant coefficients are worth studying. These
equations model one of t
Eduardo Martin-Martinez - Math 211 Sec 1
Solving the example that we saw in class
Consider the following equation
y =
3t2 + 6ty 2
6t2 y + 4y 3
We can rewrite it in terms of a 1-form (or, with a littl
When to use binomial distribution: discrete
What is the possible range of values can I get, the possible times the events happen
Binomial cant be fractions
E.g. max 10 times, so 0-10 is the range
Gaus
7. the times in seconds taken by an athlete to run 400 m on 7 successive days were:
53.2, 55.7, 54.2, 53.6, 59.3, 54, and 53.7
find the mean, median and standard deviation of the times
mean= (53.2+55.
Stat 211 - Tutorial 4 SOlutions/Answers
Questions are adapted from the book titled "A concise course in advanced level statistics: with worked examples" by J. Crawshaw and J. Chambers. 1. (a) 0.2927 (
Stat 211 - Tutorial 4
Questions are adapted from the book titled "A concise course in advanced level statistics: with worked examples" by J. Crawshaw and J. Chambers. 1. (Page 401, Mixed Test 7A, Ques
Stat 211 - Tutorial 3
1. Bart pays $5 to play a game in which he throws two dice. If he gets 2 fives, he wins $25. If he gets only 1 five, he wins $10. Otherwise, he wins nothing. (a) Provide the prob
Stat 211 - Tutorial 2 Solution/Answers
1. P (A B) = 0.1367 and P (A B) = 0.6133. 2. P (A B) = 0 and P (A B) = 0.75. 3. (a) 0.068608 (b) 0.140 4. Three people A, B and C are playing cards, each being e
Stat 211 - Tutorial 2
1. You are given that A and B are independent events. Additionally, P (A) = 5 P (B) = 16 .Find P (A B) and P (A B).
7 16
and
7 16
2. You are given that A and B are mutually exclu
Stat 211 - Tutorial 1 Solutions
1. A closing price (in dollars) at Dec 31, 2011 of 30 stocks in a portfolio are given below: 52.78 55.88 51.12 48.27 40.72 52.39 49.82 51.69 54.59 55.85 47.59 52.48 54.
Eduardo Martin-Martinez - Math 211 Sec 1
1
Second order linear differential equations
1.1
Differential operators
Definition (differential operator). A differential operator L represents a prescribed c