Active Members
TodayLast 7 Days
more...

Resources » Articles/Knowledge Sharing » Syllabus

# Syllabus of University of Pune MCA 2008 Semester I-PROBABILITY AND STATISTICS

 Posted Date: 15-Sep-2008 Category: Syllabus Author: S.Yamininagarajan Member Level: Gold Points: 2

510904: PROBABILITY AND STATISTICS
Teaching Scheme: Examination Scheme:
Lectures: 4 Hrs/Week Theory: 70 Marks

Objectives:
To provide an introduction to probability and statistics
UNIT 1: Introduction
Interpretation of probability, sample space and events, permutations and combinations,
permutations of indistinguishable objects, Binomial Theorem, Multinomial Theorem,
Axioms of probability, conditional probability, Multiplication Rule, Bayes’ Theorem,
UNIT 2: Discrete Distributions
Random Variables, Discrete probability densities, cumulative Distribution, mathematical
Expectations, Mean, Variance, Standard Deviation, Moment Generating Function,
Geometric Distribution, Binomial Distribution, Negative Binomial Distribution, Hyper
Geometric Distribution, Poisson Distribution.
UNIT 3: Continuous Distributions
Continuous Random Variable and Probability Density, Cumulative Distribution,
Expected Value, Mean and Variance, Uniform Distribution, Gamma Function, Gamma
Distribution, Exponential Distribution, Chi-squared Distribution, Normal Distribution,
Standard normal Distribution, Weibull Distribution and reliability, Reliability of series
and parallel systems, Joint Distributions, Joint Density and Marginal Density (Discrete
and Continuous), Independence, Expectation and Covariance, Correlation, Conditional
Densities and Regression.
UNIT 4:
Descriptive Statistics: Random Sampling, Sample Statistics, Location Statistics,
measures of Variability.
Estimation: Point Estimation, Methods of moments and maximum likelihood estimation,
Functions of random Variables -Distribution of sample mean, Internal Estimation,
Confidence Interval on the mean with Variance known, Central Limit Theorem.
UNIT 5:
Interval Estimation of Variability, Estimating the Mean and Student-t Distribution,
Hypothesis Testing, Significance Testing, Hypothesis and Significance Tests on the
Mean.
Inference on proportions: Estimating proportions ,Confidence interval on p, Sample
size for estimating p, Testing Hypothesis on a proportion, Comparing two Proportions-
Estimation and Hypothesis Testing
14
UNIT 6:
Categorical Data: Multinomial Distribution, Chi-squared Goodness of Fit Tests, Testing
for independence: r * c Test for Independence, Comparing proportions: r * c Test for
homogeneity
Statistical Quality Control: Properties of control charts, Shewhart control charts:
Sample Mean chart, R chart, P chart, C charts
Acceptance Sampling, Two-Stage acceptance sampling

Text Books:
1. Trivedi K., “Probability and Statistics with reliability, Queuing, and Computer Science
Applications”, PHI, ISBN: 81-203-0508-6
2. Spiegel, Schiller, “Probability and Statistics” 2nd Edition, TMH, ISBN: 0-07-058610-1
Reference Books:
1. Papoulis, Pillai, “Probability, Random Variables and Stochastic Processes”, 4th Edition,
TMH, ISBN: 0-07-048658-1

Reference http://www.unipune.ernet.in/stud_info/Syllabi/Syllabus_2008.html

Did you like this resource? Share it with your friends and show your love!

Responses to "Syllabus of University of Pune MCA 2008 Semester I-PROBABILITY AND STATISTICS"

No responses found. Be the first to respond...

Feedbacks

## Post Comment:

• Do not include your name, "with regards" etc in the comment. Write detailed comment, relevant to the topic.
• No HTML formatting and links to other web sites are allowed.
• This is a strictly moderated site. Absolutely no spam allowed.
•  Name: Sign In to fill automatically. Email: (Will not be published, but required to validate comment) Type the numbers and letters shown on the left.

 Next Resource: ANNA UNIVERSITY Physics & Chemistry Laboratory I Previous Resource: Syllabus of University of Pune MCA 2008 Semester I-MANAGEMENT SCIENCE Return to Resources Post New Resource Category: Syllabus

Post resources and earn money!

More Resources
 Popular Tags Tag posting guidelines Search Tags
Syllabus  .

Subscribe to Email
• Get Jobs by Email
• Forum posts by Email
• Articles by Email
• Online MembersNaresh Kumar Behera
Hemnath
jyothirmayi
N K Ravishankara
ananth
vinay
Komal Sood
manasa
vamshi
Mohamed ibrahim
Amit Goyal
More...