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

Probability

Distribution Function

Standard Probability Distributions

Edit

Appeared in Year: 2011

Describe in Detail

Essay▾

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?

Explanation

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

Numerical Analysis

Interpolation Formulae

Gauss

Edit

Appeared in Year: 2009

Describe in Detail

Essay▾

Find the value of

by taking 5 subintervals and using the Trapezoidal rule.

Explanation

Let

First divided the interval into 5 subintervals

Sub-Intervals
x	0				1
y	1

Here

the Trapezoidal rule is

Question 163

Numerical Analysis

Interpolation Formulae

Newton (Dividend Difference)

Edit

Appeared in Year: 2015

Describe in Detail

Essay▾

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

Marks	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
Number of students	31	42	51	35	31

Explanation

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

where

… (26 more words) …

Question 164

Statistical Methods

Association and Contingency

Edit

Appeared in Year: 2015

Describe in Detail

Essay▾

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

	Disease on-set
		Yes	No
Medicine used	A	19	587
Medicine used	B	193	2741

Explanation

The frequencies for various attributes be show in this contingency table

Medicine used	Yes (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) …