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Tamil Nadu Dr MGR Medical University 2009 B.Pharm V – MATHEMATICS INCLUDING BIOSTATISTICS Q.PCode : 564165 - - Question Paper

Friday, 19 April 2013 09:10Web


[KU 705] Sub. Code: 4165
FIRST B.PHARM. DEGREE exam
(ReRevised Regulations)Candidates Admittted upto 2003-04
Paper V – MATHEMATICS INCLUDING BIOSTATISTICS
Q.P. Code : 564165
Time : 3 hours Maximum : 75 marks
I. Essay ques. : (2 X 20 = 40)
ans any 2 ques..
1. a) Solve : XYP² + (X+Y)P +1 =0. (10) b) Before an increase in dosage of antibiotics on fish reared in a
research station, 400 out of 600 were in good health condition. After
an increase in dosage of antibiotics, 450 fish were in good condition
in a sample of 900 fish. Do you think that there has been any
significant increase in health condition of the fish after the increase
in dosage. (for Z(0.01) = 2.58 S.E). (10) 2. a) Integrate with respect to X: ex (1+sinx) (10) ----------------
1+cos x
b) 2 hundred individuals are classified to their eye and hair color
and we have the subsequent contingency table. Test whether the eye
and hair colors are independent. (for v=2, x² 0.05 =5.99). (10)
Haircolor
Eyecolor
Black
Grey
Black
40
60
Blue
35
25
Brown
25
15
3. a) Differentiate tan ?¹ 2x with regard to cos ? ¹ 1- x²
-------- --------
1 - x² one + x² (10)
b) A simple random sample of size 400 has mean 25, the population
variance being 25. obtain an internal estimate of the population mean with
a confidence level of i) 99% and ii) 95%. If population variance is not
given, then what should be done to obtain out the needed internal estimates. (10)
II. Write Short Notes . ans any 5 ques.. (5X five = 25)
1. A sales man has 60% chance of making a sale to every customer. The behaviour of successive customers in independent. If 2 customers A and B enter, what is the probability that the salesman will make to A or B.
2. Resolve into partial fractions : 2X+3
---------------
(X² +1) (X+4)
3. compute standard deviation from the subsequent data.
X
6
9
12
15
18
Y
7
12
19
10
2
4. Evaluate: LT X??/2 (1+ Cos X)³secx
5. State the different measures of central tendency and discuss every 1 presizely
6. obtain the laplace transform of L{e ²¹ sin2t}.
7. Name the various kinds of diagrams and discuss any 1 of them.
III. Short Answers: ans any 5 ques.. (5X2 = 10)
1. Write 2 lines about – multiple correlation.
2. Write the 2 regression equations.
3. describe the term census.
4. elaborate the different method used in collecting primary data.
5. discuss the term ’resolution into partial fractions’.
6. Write the standard binomial series of (1-X) ? p/q .
7. What is a symmetric matrix.

[KU 705]    Sub. Code: 4165

FIRST B.PHARM. DEGREE EXAMINATION (ReRevised Regulations)Candidates Admittted upto 2003-04 Paper V - MATHEMATICS INCLUDING BIOSTATISTICS

Q.P. Code: 564165

Time : Three hours    Maximum : 75 marks

I. Essay Questions :    (2 X 20 = 40)

Answer any TWO questions.

1.    a) Solve : XYP2 + (X+Y)P +1 =0. b) Before an increase in dosage of antibiotics on fish reared in a

(10)


research station, 400 out of 600 were in good health condition. After

an increase in dosage of antibiotics, 450 fish were in good condition

in a sample of 900 fish. Do you think that there has been any

significant increase in health condition of the fish after the increase

in dosage. (for Z(0.01) = 2.58 S.E).    (10)

2.    a) Integrate with respect to X:    ex (1+sinx)    (10)

1+cos x

b) Two hundred individuals are classified to their eye and hair color and we have the following contingency table. Test whether the eye and hair colors are independent. (for v=2, x2 0.05 =5.99).

(10)


Haircolor

Eyecolor

Black

Grey

Black

40

60

Blue

35

25

Brown

25

15

3. a) Differentiate tan 2x with regard to cos

1-

-

2

x

(10)

1 - x2    1 + x2

b) A simple random sample of size 400 has mean 25, the population variance being 25. Find an internal estimate of the population mean with a confidence level of i) 99% and ii) 95%. If population variance is not given, then what should be done to find out the required internal estimates.

II. Write Short Notes . Answer any FIVE questions.


(10) (5X 5 = 25)

A sales man has 60% chance of making a sale to each customer. The behaviour of successive customers in independent. If two customers A and B enter, what is the probability that the salesman will make to A or B.

1.

2.


Resolve into partial fractions :    2X+3

(X2+1) (X+4)

3. Calculate standard deviation from the following data.

X

6

9

12

15

18

Y

7

12

19

10

2

4.    Evaluate: LT X-H/2 (1+ Cos X)3secx

5.    State the various measures of central tendency and explain each one presizely

6.    Find the laplace transform of L{e 2' sin2t}.

7.    Name the different types of diagrams and explain any one of them.

III. Short Answers: Answer any FIVE questions.

1.    Write two lines about - multiple correlation.

2.    Write the two regression equations.

3.    Define the term census.

4.    What are the various method used in collecting primary data.

5.    Explain the term resolution into partial fractions .

6.    Write the standard binomial series of (1-X) " p/q .

7.    What is a symmetric matrix.

(5X2 = 10)







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