# ISS Statistics Paper I (Old Subjective Pattern): Questions 162 - 165 of 165

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## Question number: 162

» Probability » Distribution Function » Standard Probability Distributions

Appeared in Year: 2011

Essay Question▾

### 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?

### 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 =… (19 more words) …

## Question number: 163

Appeared in Year: 2009

Essay Question▾

### Describe in Detail

Find the value of

by taking 5 subintervals and using the Trapezoidal rule.

### Explanation

Let

First divided the interval into 5 subintervals

 x 0 1/4 1/2 3/4 1 y 1 16/17 4/5 16/25 ½

Here a = 0, b = 1, n = 4, h= (b-a) /n = 1/4

the Trapezoidal rule is

## Question number: 164

» Numerical Analysis » Interpolation Formulae » Newton (Dividend Difference)

Appeared in Year: 2015

Essay Question▾

### 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

 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.

 Marks less than Number of student Difference ∆y 0 ∆ 2 y 0 ∆ 3 y 0 ∆ 4 y 0 x 0 =40 y 0 = 31 42 9 -25… (32 more words) …

## Question number: 165

Appeared in Year: 2015

Essay Question▾

### Describe in Detail

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 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),… (52 more words) …

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