## Download "Theory of Statistics" of Economics Question Paper-3 for B.A / B.Sc. (Hons.) 4th Semester Previous Years for Students.

• Friday, December 10, 2021
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## Time Allowed: Three Hours]    [Maximum Marks: 90

1. Attempt any NINE questions:

(i) List three uses of statistics.

(ii) Explain concept of random variable

(iii) Two coins are tossed. Show that the probability of getting at least one head is 3/4.

(iv) Discuss parabolic growth curve.

(v) Explain sampling is important in life.

(vi) Discuss how random sampling is used in the design of an experiment.

(vii) Explain the term partial correlation.

(viii) List few sources of secondary data.

(ix) List the properties of Point Estimation.

(x) Explain sigh test.

(xi) Why is a high response rate desired in survey?

(xii) Explain the importance of visual presentation of data (2x9=18)

UNIT-I

II. Discuss concept of Moment, Moment Generating Function, and Characteristic Function with example.

III. Suppose the ranks obtained by a set of 10 students in a Mathematics test (X) and a Physics test (Y) are shown below.

UNIT-II

IV. (a) What do you mean by continuous probability distribution? How does it differ from binomial distribution?

(b) State and prove Baye's theorem and Central Limit Theorem. 18

V. Suppose that a manufactured product has 2 defects per unit of product inspected. Use poisson distribution and calculate the probabilities of finding a product without any defect, with three defects and with four defects. (Given e 2 s0.13534) 18

UNIT-III

VI. Differentiate between probability and non-probability sampling methods with their advantages and limitations. Explain how stratified random sampling is different from cluster sampling. 18

VII. Explain the following terms with illustration:

(a) One tail and two tail test

(b) Type I and type II error

(c) Level of significance

(d) Critical region

UNIT-IV

VIII. What do you mean by quality control discuss its application in Service Industry. 18

IX. The results of the use of two drugs in the treatment of a certain disease are as follows: