Name of the University : University of Pune
Name of the College : MIT Arts Commerce & Science College
Degree : B.SC
Department : Computer Science
Subject Code/Name : Statistical Methods I and II
Year : I
Document Type : Question Bank
Website : mitacsc.ac.in
Download Model/Sample Question Paper :
Statistical Methods I : https://www.pdfquestion.in/uploads/mitacsc.ac.in/3795-SM-I.pdf
Statistical Methods II : https://www.pdfquestion.in/uploads/mitacsc.ac.in/3795-SM-II.pdf
Statistical Methods :
CHAPTER 1) PERMUTATION AND COMBINATION :
Q1) State the fundamental principals of counting with one illustrations each.
Q2) How many 3 letter words can be formed using the letters of the word
Related : MIT Arts Commerce & Science College File Organization and Fundamental of Databases B.SC Question Bank : www.pdfquestion.in/3797.html
Q3) How many three digit numbers divisible by 5 can be formed out of 5,6,7,8,9,
Q4) A committee of 4 persons is to be formed from 10 persons. Find the number of
Q5) A cricket team of 11 players is to be formed from 18 players consisting of 7
Q6) In a basket there are 5 mangoes and 6 oranges. If any 3 fruits are
CHAPTER 2) SAMPLE SPACE AND EVENTS :
Q1) Distinguish between deterministic and non-deterministic experiment
Q2) Explain the following with suitable examples : i) Sample Space
Q3) What do you mean by relative complementation- Explain with an example.
Q4) Three coins are tossed and outcome on the uppermost face is recorded.
Q5) A statistical experiment consists of asking 3 housewives at random,
CHAPTER 3) THEORY OF PROBABILITY :
Q1) State the classical definition of probability with one illustration.
Q2) State the axioms of probability.
Q3) State and prove the addition theorem of probability.
Q4) Define the independence of two events- Does independence
Q5) Explain the concept of conditional probability. State and
Q6) Define the partition of a sample space- State the Bayes’ theorem.
Q7) If a pair of unbiased coins is tossed, obtain the probability of getting :
Q8) From a well shuffled pack of 52 cards,
Q9) Find the probability of getting 53 Sundays in i) Leap year and
Q10) i) The letters of the word ‘SEMINAR’ are arranged at random.
CHAPTER 4) DISCRETE RANDOM VARIABLE :
Q1) Define cumulative distribution function of a discrete
Q2) If a random variable X takes values 1, 2, 3 and 4
Q3) Consider the following frequency distribution of X :
Q4) Let X be a discrete random variable with mean
Q5) Define each of the following :
Q6) Suppose three balanced coins are tossed simultaneously.
Q7) Obtain the probability distribution of the following
CHAPTER 5) STANDARD DISCRETE DISTRIBUTIONS :
Q1) Suppose X follows discrete uniform distribution
Q2) Define Poisson distribution. Give any two real life situations,
Q3) Describe Bernoulli Experiment. Define Bernoulli distribution.
Q4) Define Discrete Uniform Distribution with parameter
Q5) If a random variable X follows Poisson
Q6) Define Binomial Distribution.
Q7) Suburban trains on a certain line run
Q8) Obtain the mean and variance of Discrete Uniform
Q9) Obtain the mean and variance of Binomial
Q10) Define Geometric Distribution. State two real life
Q11) Let X- B(n=8,p=(1/4)). Find i) P(X=3) ii) P(X ‹ 3) iii) P(X = 6).
Statistical Methods– I :
1. Data Condensation & Graphical Methods :
Q.1 Define the following terms.
a) Raw data, b) Attributes, c) Variable
d) discrete variables e) continuous variables.
Q.2 Explain Less than and more than cumulative frequencies.
Q.3 Explain the construction of ogive curves.
Q.4 Explain the construction of Histogram.
Q.5 Explain briefly, construction of stem–leaf chart.
Q.6 draw a less than ogive curve and more than ogive curve for the following frequency distribution.
2. Measures of central Tendency :
Q.1 Explain the concept of Central Tendency of a Data Set. What are the objectives & requisites of good measures of central tendency?
Q.2 Write a note
i) Arithmetic mean.
ii) Weighted arithmetic mean
iii) Median.
iv) Mode.
v) Quartiles.
vi) Trimmed mean.
vii) Combined Mean.
Q.3 Compare mean & median in the light of requisites and usefulness.
Q.4 Explain briefly, the relative merits and demerits of mean, median & mode.
Q.5 Explain the concept of Percentile Ranks. Discuss its utility with the help of an example.
Q.6 Explain briefly, construction of Whisker box plot.
Q.7 Find the arithmetic mean of for the following values: 5,7,3,8,6,4,5,6,5,6. Also find 10% trimmed mean.
Q.8 A student scored 50,54,55,60 marks in four subjects Maths, Economics, Geography and English. Assigning weights 3,3,2,1 respectively, find the weighted A.M. of the scores of the student.