BSc CS Sem 1 BSc CS Semester 1 (2019 2020) Nov 2020 DESCRIPTIVE STATISTICS AND INTRODUCTION TO PROBABLITY Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt all (each of 5 marks) 15 marks
   • a) Multiple choice questions: 5
   • i) The point of introduction of the less than and the more than a give corresponds to
   • a) fhe mean b) the median c)the none of these 10 is the mean of a set of 7 observations and 5 is the mean of a set of 3 observations The mean of a combined set is given by
   • iii) The karl pearson coefficient of correction between x and y is
   • c) = d) none of these
   • iv) For any frequency distribution, the kurtosis is
   • a) greater than | b) less than 1 c) d) none of these
   • v) Seem of all probabilities of a sample space is
   • a) | b)-1 of these
   • B) Vill in the blanks. is affected very much by extreme values 5
   • ii) cannot be drawn for open ended class intervals
   • 11) independent variables are
   • iv) It ons regression coefficient is greater than unify them the other must be (greater than the first one, equal to unity, less than unity)
   • v) If P(A) P(B) P(C)= P(ANBNC) then the events A,B,C are
   • C) Short answers in 1-2 sentence. 5
   • i) Define class boundary
   • ii) Define standard deviation
   • iii) Define Bivariate data
   • iv) Define conditional probability
   • v) Define kurtosis
2. Q2 Attempt the following (any three) 15 marks
   • a) Discuss the merits and demerits of mean and median
   • b) Distinguish between the following with suitable example
   • 1) Less than and greater than or equal to frequencies
   • ii) Exclusive and inclusive class interval
   • C) What are the requisites of a good measure of dispersion?
   • D) Find the mode of the following data
   • E) Obtain the variance for the following data
   • F) Write a short note on measure of central tendency
3. Q3 Attempt the following (any three) 15 marks
   • a) Explain the term skewness. Distinguish between positive and negative skewness
   • b) Find the first four central moment’s fir the following data
   • c) Calculate the coefficient of correlation between x and y for the following data:
   • d) State and prove the relationship between central moments and raw moments about
   • e) The values of x and y are given. Find the regression series of the type y on x and x on y for the following
   • f) What is scatter diagram? Draw scatter diagram for perfect positive and perfect negative
4. Q4 Attempt the following. (any three) a} Define exhaustive events, trail, equity likely events, favorable events, sample space 15 marks
   • b) Two dice are thrown randomly. Find the probability that
   • i) The first die shows 6 ii) the total number on the dice is greater than 8
   • c) Let A and B be two events such that P(A)= and P(B)= show that
   • d) The chances that doctor A will diagnose a disear x correctly is 60%. The chances that a patient wiil be die by his treatment after diagnosis is 40% and the chance of death wrong diagnosis is 70%. A patient of doctor A who has disease x died. What is the chance that his disease was diagnosed correctly?
   • e) Write a short note on conditional probability
   • f) Define probability. State all the axiomatic of probability
5. Q5 Attempt any three. 15 marks
   • a) Explain the procedure of plotting frequency curve with one example
   • b) Define quartile deviation and write its merits and demerits Calculate karl pearson’s coefficient of correlation for the following data
   • d) Write a short note on Kurtosis State all the properties of regression coefficients

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