BSc CS Sem 1 BSc CS Semester 1 (2018 2019) Dec 2019 DESCRIPTIVE STATISTICS AND INTRODUCTION TO PROBABILITY Question Paper - Mumbai University | munotes

Questions asked in this paper

• 2) Figures to the right indicate marks

1. Q3 Illustrations, in-depth answers and diagrams will be appreciated
2. Q4 Mixing of sub-questions is not allowed
3. Q1 Attempt All(Each of 5Marks) (15M)
   • (a) Multiple Choice Questions (5M)
   • (a) i. Absolute zero is defined iit. Median can be determined using
   • a. Histogram. b. Frequency polygon. c.Ogives. d. None of the
   • iii. First raw moment is equal to
   • iv. of variation is -------------measure of dispersion
   • a. Absolute Both a) and b) — d. None of the above
   • v. Probability always lies between
   • b.0 to 1 C, tO 00 d. co
   • (b) Fill in the blanks
   • i. Mid value of the class interval is called (Class length,
   • ii. Most frequently occurring value the data set is called aS.(mean, median, mode)
   • iii. Second ordered central moment is (mean, variance,
   • iv. If the data is given in terms of ranks then .correlation coefficient is used to determine relationship between two variables If is tossed then the probability of head and tail is
   • (C) Short Answers in 1-2 sentences (5M)
   • ii. Define coefficient of determination What is perfect correlation?
   • iv. Define probability
4. Q2 Attempt the following (Any THREE) (15M)
   • (a) Describe different measurement scales
   • (b) Distinguish using suitable example
   • i. Continuous and discrete frequency
   • ii. Exclusive and Inclusive class interval Paper Subject Code: 82106 Descriptive Statistics & Introduction to Probability
   • (c) Draw a histogram for the following data showing marks obtained in the subject of statistics
   • (d) Write five requisites of good measures of tendency
   • (e) Define Arithmetic mean. Write any two merits and demerits for the same
   • (f) Obtain coefficient of variation for the following data
5. Q3 Attempt the following (Any THREE) (15M)
   • (a) Define first four raw moments Also state the relationship between raw and
   • (b) Write a short note on Skewness and Kurtosis
   • (c) With usual notation 3, and then Compute and
   • (d) What is scatter diagram? Draw scatter diagram for Perfect positive and Perfect
   • (e) Explain the concept of correlation and regression. Also discuss the situation to use spearman’s correlation, Karl Pearson’s correlation and regression analysis with one example
   • (f) Obtain regression lines of the type Y on X and X on Y for the data given below:
6. Q4 Attempt the following (Any THREE) 15 marks
   • (a) Explain the following using Venn Diagram
   • i. Union of two events. ii. Intersection of two events
   • (b) A six faced dice is tossed. Write a sample space and find the probability of
   • (c) State the addition and multiplication theorem of probability
   • (d) Define random experiment, event, certain event, mutually exclusive events, sample
   • (e) Write a short note on conditional probability
   • (f) Five Boys and three girls have to stand in a row for photograph. If they stand at random, find the probability that
7. Q1 Girls at the two extreme positions li. All girls together Paper Subject Code: 82106 Descriptive Statistics & Introduction to Probability
8. Q5 Attempt the following (Any THREE) 15 marks
   • (a) Explain the procedure of plotting frequency polygon with one example
   • (b) Define variance and write at least two merits and two demerits of it
   • (c) Obtain Spearman’s Rank correlation for the following data:
   • (d) Write a short note on Bayes’ theorem
   • (e) Write a short note on Stem and Leaf

Read from the scan above, so a character or two may differ. The scan is the original.