ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 161 - 164 of 164

Access detailed explanations (illustrated with images and videos) to 164 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 550.00 -OR-

How to register? Already Subscribed?

Question 161

Standard Probability Distributions

Appeared in Year: 2011

Describe in Detail


Show that is a probability density function for an appropriate value of a. Upto what order do the moments of this p. d. f. exist?


To find the value of a, we known that the probability density function under the range of x is equal to one.

To find order which is exist for this p. d. f. is

Upto moments is exist is k-2 < 0 = k < 2

That is only we find the first moment for k = 1 which is mean

Question 162

Appeared in Year: 2009

Describe in Detail


Find the value of

by taking 5 subintervals and using the Trapezoidal rule.



First divided the interval into 5 subintervals



the Trapezoidal rule is

Question 163

Newton (Dividend Difference)

Appeared in Year: 2015

Describe in Detail


By making use of difference table and a suitable interpolation formula, find the number of student who obtained less than 45 marks in an examination, from the following table

Marks30 - 4040 - 5050 - 6060 - 7070 - 80
Number of students3142513531


Applying Newton-Gregory forward formula for interpolating the number of student who obtained less than 45 marks in an examination.

The Newton՚s formula is


… (26 more words) …

Question 164

Appeared in Year: 2015

Describe in Detail


Compute Yule՚s coefficient of association (Q) and Yule՚s coefficient of colligation (Y) for the following table:

Disease on-set
Medicine usedA19587


The frequencies for various attributes be show in this contingency table

Medicine usedYes (A)No (a)
A (B)(AB)(aB)
B (b)(Ab)(ab)

(i) Yule՚s coefficient of association is a relative measure of association between two attributes, for this question the attributes are No-TB and treatment. If (AB) , (aB) , (Ab) and (ab) represent the frequencies, then Yule՚s…

… (46 more words) …