Download MBBS TMU 2nd Year 2016 MBS204 Forensic Medicine Question Paper

PART-A

(10 x 2 = 20 Marks)

1. (a) Define Random variable.

2. (b) Define probability density function and state its properties.

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3. (c) Find the moment generating function of exponential distribution.

4. (d) Define null hypothesis and alternative hypothesis.

5. (e) Define Type-I and Type-II errors.

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6. (f) Write the formula for calculating Karl Pearson’s coefficient of correlation.

7. (g) What are the control charts for variables?

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8. (h) Write about the basic elements of queuing model.

9. (i) Define transient and steady state.

10. (j) What is two-person zero-sum game?

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PART-B

(3 x 15 = 45 Marks)

1. (a) If the probability density of a random variable is given by

   f(x) = kx², 0 ≤ x ≤ 2

   = 0, Otherwise

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   Find the value of k and P(1 < x < 2).

   (b) Define Binomial distribution. Derive mean and variance of Binomial distribution.

2. (a) A population consists of 5 numbers 3, 6, 9, 12, 15. Consider all possible samples of size 2 which can be drawn without replacement from the population. Find

   1. The mean of the population.

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   2. The standard deviation of the population.
   3. The mean of the sampling distribution of means.
   4. The standard deviation of the sampling distribution of means.

   (b) Explain different types of errors in sampling.

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3. (a) A simple sample of heights of 6400 Englishmen has a mean of 67.85 inches and a standard deviation of 2.56 inches while a simple sample of heights of 1600 Australians has a mean of 68.55 inches and a standard deviation of 2.52 inches. Do the data indicate that Australians are on the average taller than Englishmen? (Test at 1% level of significance).

   (b) Explain the procedure of testing of hypothesis.

4. The following are the values of sales and profits of a company:

   Sales (in Lakhs of Rs.)	80	90	95	85	95	100	110	105
   Profits (in Lakhs of Rs.)	11	14	15	13	15	16	17	16

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   1. Determine the regression equations.
   2. Estimate the profits when sales is Rs. 120 lakhs.

5. (a) Explain M/M/1 queuing model.

   (b) Find the optimal strategies and the value of the game, where pay off matrix is given by

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   	B1	B2	B3
   A1	1	-1	-1
   A2	3	-5	-2
   A3	6	-2	3

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