GUJARAT TECHNOLOGICAL UNIVERSITY
SEMESTER-IV(NEW) - EXAMINATION - SUMMER 2019
--- Content provided by FirstRanker.com ---
Subject Code:2142505 Date:17/05/2019Subject Name: Probability and Introduction to Statistics
Time:02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
--- Content provided by FirstRanker.com ---
2. Make suitable assumptions wherever necessary.3. Figures to the right indicate full marks.
Q.1 (a) Explain in brief: What is operation research? 03
(b) Define: (i) Range (ii) Quartile deviation (iii) Average deviation (iv) Variance. 04
(c) Explain different types of graphs (charts) which are used to present statistical data. 07
--- Content provided by FirstRanker.com ---
OR
Q.1 (a) What is data? List various types of data and explain any one of them. 03
(b) Compare various measures of central tendencies. 04
(c) Calculate the mode using analytical and graphical method for the following distribution. 07
Gross profit | 0-7 | 7-14 | 14-21 | 21-28 | 28-35 | 35-42 | 42-49
--- Content provided by FirstRanker.com ---
as percentage of salesNumber of companies | 19 | 25 | 36 | 72 | 51 | 43 | 28
Q.2 (a) Explain Skewness and Kurtosis. 03
(b) Explain the basic rules for probability. 04
(c) Describe conditional probability with suitable example. 07
--- Content provided by FirstRanker.com ---
OR
Q.2 (a) Discuss the properties of Hyper Geometric Distribution. 03
(b) Explain Chi-Square "test for goodness of fit". 04
(c) Explain Analysis of Variance (ANOVA). 07
Q.3 (a) Define : (i) Null Hypothesis (ii) Systematic Sampling (iii) Mode 03
--- Content provided by FirstRanker.com ---
(b) What is Simple Linear Regression? 04(c) An item is manufacture by three machines, M1, M2, M3. Out of the total manufacturing during specified production period, 50% are manufactured on M1, 30% on M2, and 20% on M3. It is also known that 2% of item are produced by M1 and M2 are defective, While 3% of those manufacture on M3 are defective. All items are put into on bin. From the bin, One item is drawn random and found to be defective. What is the probability that it was made on M1, M2, M3?
OR
Q.3 (a) Define : (i) Event (ii) Ogives (iii) Geometric mean 03
(b) What are Null Hypothesis and Alternate Hypothesis? 04
--- Content provided by FirstRanker.com ---
Q.4 (a) Explain correlation coefficient. 07
(b) Suppose a random variable X has the following probability function: 03
X | 4 | 6 | 8 | 10
P(X) | 0.2 | 0.3 | 0.4 | 0.5
(c) Find expectation and variance of X. 04
--- Content provided by FirstRanker.com ---
(d) Explain Normal distribution with suitable example. 07OR
Q.4 (a) Find the Harmonic mean of 4, 8, 16, 32, 64. 03
(b) A random variable X has a Poisson distribution with a mean of 3. Find P (1 < X < 3)? 04
(c) Explain briefly scatter diagram with suitable example. 07
--- Content provided by FirstRanker.com ---
This download link is referred from the post: GTU BE 2019 Summer Question Papers || Gujarat Technological University
--- Content provided by FirstRanker.com ---