Welcome to
AAOC C111
Probability and Statistics
Dr. Chandra Shekhar. Asstt. Priafessor. Mathematics Gnaun. BITS. Pilani. Raiasthan 333031 1 http:Hdiscovery.bitspilani.ac.in]~chandrashekhar
Dr. Chandra Shekhar
Asstt. Professor
Mathematics Group,
BITS, Pi
Birla Institute of Technology and Science, Pilani
Second Semester-2014-15
MATH F112 (Mathematics-II)
Assignment II
1. Sketch the set
(i) Is S open?
, and answer the following with proper justification:
(ii) Is S connected?
(iii) Is S bounded?
Also determi
BIRLA INSTITUTE OF TECHNOLGY & SCIENCE, PILANI
SECOND-SEMSETER 2014-2015
MATH F112: Mathematics-II
List of problems from the text book (Complex Variables and Applications; R.V Churchill
and J.W Brown, 8th edition).
Page Numbers
22,23
29, 30
33
55, 56
62,
Simulation 2
Generation of Standard Distribution
Generation of Exponential random variate
Generation of Uniform random variate
Generation of Exponential random variate
Let X have an exponential distribution with
parameter . The distribution function of
Chapter 9
Inferences on Proportions
This
chapter
will
deal
inferences
on
proportions
hypothesis tests on them.
with
and
We will see how to employ the
standard normal distribution to
construct confidence intervals on p
and test hypotheses concerning its
va
CHAPTER 9
INFERENCES ON
PROPORTIONS
This chapter will deal with inferences on
proportions and comparisons of two proportions.
We will see how to employ the standard normal
distribution to construct confidence intervals on
p and test hypotheses concerning
Limits of Point estimation
In point estimation, statistic is used to estimate
population parameter. Statistic is a function on
random sample.
From a particular sample, value of that statistic
is used to estimate the parameter. This is not the
actual value
CHAPTER 11
SIMPLE REGRESSION AND
CORRELATION
1
In this chapter, we learn to estimate the curve of
regression of Y on X when the regression is
considered to be linear.
Linear curve of regression of Y on X
Y | x 0 1 x
Where 0 and 1 denote real numbers.
11.1
Lecture # 26
Generation of Standard Distribution
Generation of Exponential random variate
Generation of Uniform random variate
Generation of Bernoulli random variate
Generation of Binomial random variate
Generation of Poisson variate
Generation of Exponen
BITS Pilani
presentation
BITS Pilani
Pilani Campus
Dr RAKHEE
Department of Mathematics
BITS Pilani
Pilani Campus
MATH F111 & AAOC C111
Probability and Statistics
BITS Pilani
Pilani Campus
Chapter 2
Some Probability Laws
Axioms and Definition
The definiti
BITS Pilani, Pilani Campus, Department of Mathematics
Instructor: Dr. Suresh Kumar
January 22, 2015
Course Title: Probability and Statistics
Course Number: MATH F113
Note: Some concepts of Probability and Statistics are briefly described here just to help
BITS Pilani, Pilani Campus, Department of Mathematics
Instructor: Dr. Suresh Kumar
February 4, 2015
Course Title: Probability and Statistics
Course Number: MATH F113
Note: Some concepts of Probability and Statistics are briefly described here just to help
Since f_x is bounded in the neighborhood
and is multiplied by h, the first term on
right side goes to zero.
As n(k)-> 0, the second term is also a
product of k and a bounded function on that
neighborhood. Therefore the second term
also goes to zero.
Hence
INDIAN STATISTICAL INSTITUTE
Prospectus for
PART-TIME CERTIFICATE COURSE
in
STATISTICAL QUALITY CONTROL
with
SIX SIGMA GREEN BELT
(Week-End Module : Bangalore)
Contact
SQC & OR Unit,
Indian Statistical Institute
8th Mile, Mysore Road,
Bangalore 560 059.
P
Biology
1. If an interphase cell is treated with cyanide (a metabolic poison), the cell does not divide by
mitosis. However, if cyanide is added right after mitosis has started, the same cell completes
mitosis. Which of the following explains this observa
Physics
46. Dimension of Plancks constant is equivalent to the dimension of which of the following quantities?
A. Force.
B. Energy.
C. Linear momentum.
D. Angular momentum.
47. The gure below shows the displacement vs time plot of a particle undergoing si
Assignment-5
Indian Institute of Science Education and Research, Pune
MTH 102 Jan-April 2017
Date: February 17, 2017
Coordinator: Anindya Goswami
1. Evaluate the directional derivative of f (x, y, z) = ( xy )z at (1, 1, 1) in the direction of (2, 1, 1).
2
Assignment-4
Indian Institute of Science Education and Research, Pune
MTH 102 Jan-April 2017
Date: February 2, 2017
Coordinator: Anindya Goswami
1. By considering
(
x2 + y 2 sin(
f (x, y) =
1
),
x2 +y 2
0
(x, y) 6= (0, 0)
(x, y) = (0, 0),
show that the c
Academic Calendar 2017
Spring 2017
1 January 2017, Sunday
2 January 2017, Monday
9 January, 2017, Monday
20 27 February 2017
20 March 2017, Monday
6 April 2017, Thursday
19 April 2017, Wednesday
21 - 28 April 2017
30 April 2017
1 3 May 2017
12 May 2017, F
Tutorial 1: CHM102 (2017)
Practice some Multivariate Calculus
Why? Since thermodynamic parameters such as internal energy U, pressure P, free energy G depend
on more than one variable, we need to know how to calculate the derivative of these quantities wi
1
Application of Derivatives
6
Short Answer Questions
1.
2.
A car parking company has 600 subscribers and collects
fixed charges of ` 400 per subscriber per month. The company
proposes to increase the monthly subscription and it is
believed that for every
1
All India Board 2015
GENERAL INSTRUCTIONS
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
1.
2.
All questions are compulsory.
Please check that this Question Paper contains 26 questions.
Marks for each question are indicated against it.
Question 1 to 6 in Section-A
1
Delhi Board 2015
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
1.
2.
3.
4.
GENERAL INSTRUCTIONS
All questions are compulsory.
Please check that this Question Paper contains 26 questions.
Marks for each question are indicated against it.
Question 1 to 6 in Section-