# Baba Farid University of Health Sciences 2009 B.Pharm B.Pht[Final Prof.] BF/J//07 Applied Mathematics & Statistics - Question Paper

Wednesday, 20 March 2013 08:00Web

M.M. : 50

**Time :**two Hours

NOTE : THE CANDIDATES MAY USE SIMPLE CALCULATOR &

MAY ASK FOR LOG TABLES.

part - A

[10]

All ques. are compulsory. every ques. carries two Marks.

**1.**Prove that seven log 16 + five log 25 + three log 81 = log 2

15 80 80

**2.**The sum of the squares of 2 numbers is 233 and 1 of the numbers is three less than

twice the other. obtain the numbers.

Prove that tan2 ? – Sin2 ? = tan2 ? sin2 ?

3.

What is Chi-square(x

**2)**test? Under what conditions, is it applicable?

4.

**5.**Enumerate the different properties of normal distribution.

part – B

[24]

Attempt any four ques.. every ques. carries six Marks.

**1.**obtain the area of the base of a right tetrahedron whose quantity is 675 three cu cm and

height is 25 cm. Also obtain the side of the base.

If tan A + sin A = m and tan A – sin A = n, then show that m2 - n2 = + four mn.

2.

**3.**Using Log table evaluate accurate to 3 decimal places 31.42 x 7.192

8(0.236)2

3

**4.**The median and mode of the subsequent wage distribution are known to be Rs. 3350

and Rs. 3400 respectively:

Wages(in Rs.) 0-1000 1000-2000 2000-3000 3000-4000

No. of employees four 16 f3 f4

Wages(in Rs.) 4000-5000 5000-6000 6000-7000

No. of employees f5 six 4

Total employees = 230

obtain the values of f3, f4 and f

**5.**Also compute Standard deviation of the distribution.

**5.**Ten recruits were subjected to a selection test to ascertain their suitability for a

certain course of training. At the end of the training, they were provided a proficiency

test. The marks secured by recruits in the selection test

**(**and proficiency test(y) are

**x)**provided below:

Sr. No. : one two three four five six seven eight nine 10

X : 10 15 12 17 13 16 24 14 22 20

Y : 30 42 45 46 33 34 40 35 39 38

compute Product moment correlation coefficient and Rank correlation

coefficient. Why are 2 coefficients different?

**6.**

**a.**Write down the applications of t-distribution.

**b.**The Nicotine content (in milligrams) of 2 samples of tobacco were obtained

to be as follows:

Sample A : 24 27 26 21 26

Sample B : 27 30 28 31 22 36

Can it be stated that 2 samples comes from the identical normal

population?

P.T.O.

part – C

[16]

Attempt any 1 ques..

1

**a.**A piece of cloth costs Rs. 35.00. If the piece be four metres longer and every metre costs

Rs. 1:00 less, the cost would remain unchange

**d.**How long is the piece?

1

**b.**What is meant by Correlation? Also distinguish with suitable examples between:

**i)**Positive and Negative correlation.

**i**Linear and Non linear correlation.

**i)**2

**a.**discuss what is meant by a test of significanc

**e.**define the procedure of carrying it

out.

2

**b.**In the course of anti-malarial work, Quinine was administered to 606 adults out of

total population of 35

**40.**the incidence of malarial fever is shown beneath. explain the

preventive value of Quinine.

Fever No Fever Total

Quinine 19 587 606

No Quinine 193 2741 2934

TOTAL 212 3328 3540

(x12 0.05 = 3.841, x42 0.05 = 9.488 )

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Earning: Approval pending. |