Download SGBAU BSc 2019 Summer 1st Sem Bioinformatics Elementary Mathematics n Statics Question Paper

Time : Three Hours] [Maximum Marks : 80

Note :— (1) Attempt ALL questions.

(2) Question No. 1 is compulsory.

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1.

(A) Fill in the blanks : 2

1. Definite integral of any function is ___________.
2. f"(x) is called as ___________.
3. Median divides the series in ___ equal parts.

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4. Upper limit of probability is ___________.

B) Choose the correct alternatives and rewrite the sentences : 2

1. f'(x) is called as :
   1. Function of X
   2. Derivative of X
   3. Second order derivative

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   4. Integral of X
2. Order of differential equation jii + gi =0 is:
   1. Zero
   2. One
   3. Two

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   4. None of the above
3. Deciles divide the series in ___ equal parts.
   1. Two
   2. Four
   3. Ten

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   4. Hundred
4. A die is rolled, then probability of getting number 3 is :
   1. 1/3
   2. 1/2
   3. 1/6

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   4. Zero

Answer the following in ONE sentence : -

1. Define definite integral.
2. Order of the differential equation.

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3. Meaning of mode.
4. What do you mean by dispersion ?

2. (a) Explain the difference and ___________. 4

(b) Discuss procedure of obtaining integration of function. 4

(c) Solve the differential equation : Sd—l’ w—'ld}.~sinx-(), 4

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dx* dx

OR

(p) How would you obtain limit of function ? Give example. 4

(q) Explain derivative of triponometric function. 4

(r) Discuss about implicit function. 4

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3. (a) Explain the integration by substitution. 4

(b) How would you obrtain ¢ function from derivative ? 4

(c) Explain procedure of obtaining volume of bounded region. 4

OR

(p) Define difference cquation with example. 4

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(q) Discuss procedure for integration by partial function 4

(r) Explain how would you obtain difference and product of two functions. 4

4. (a) Discuss the concept of order and degree of differential equation. 4

(b) Explain the variable seperable method 4

(c) Solve the differential equation : y = 2e*p + ¢*Q + R eliminating P, Q and R. 4

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OR

(p) Explain the procedure of obtaining solution of first degree differential cquation. 4

(q) What are the types of the differential equations ? Give example. 4

(r) Obtain the solution of 3sinx v 2sinx =co0s 2x 4

5. (a) Define central tendency. What are its measures and define arithmetic mean for grouped data ? 6

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(b) Obtain the first and third quartile for following data : 6

OR

(p) Explain concept of correlation, scatier diagram and correlation coefficien 6

(q) Obtain correlation coefficient for following data : 6

6. (a) Define sample space and events. 4

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(b) What are the axioms of probability ? 4

(c) Obtain probability of getting sum 10, when two dice are rolled simultaneously. 4

OR

(p) Explain mutually exclusive and independent events. 4

(q) State the Baye’s rule of probability. 4

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(r) Discuss concept of probability tree. 4

7. (a) What do you mean by random variable ? Explain, with example, discrete and continuous random variable. 6

(b) Obtain the expected value of x for following : 6

OR

(p) Explain the cumulative distribution function. Give its properties. 6

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(q) Describe probability mass function and probability density function. 6

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