Download ABVMU MBBS 1st Year 2023 January 2312130002 Physiology Paper II 2023 January Question Paper

PART-A

1. a) If P(A) = 1/2, P(B) = 1/3 and P(A∩B) = 1/4, find P(A/B) and P(B/A). (2M)

b) Write the properties of Binomial distribution. (2M)

c) Define critical region. (2M)

d) Write the properties of t-distribution. (2M)

e) Define queue length. (2M)

--- Content provided by‌ FirstRanker.com ---

f) Define transient state. (2M)

g) Define correlation and regression. (2M)

PART-B

2. a) A bag contains 5 white and 3 black balls and a second bag contains 3 white and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. What is the probability that a ball now drawn from the second bag is black? (7M)

b) The probability density function of a variable X is given by

f(x) =

--- Content provided by‍ FirstRanker.com ---

Evaluate k and find the value of P(0.2 < x < 0.5). (7M)

3. a) Out of 800 families with 5 children each, how many would you expect to have (i) 3 boys (ii) atleast one boy (iii) no girl (iv) two or three girls. (7M)

b) If X is a normal variate with mean 30 and standard deviation 5. Find the probabilities that (i) 26 ≤ X ≤ 40, (ii) X ≥ 45, (iii) |X – 30| > 5 (7M)

--- Content provided by‌ FirstRanker.com ---

4. a) A sample of 100 items, the mean is 63 inches and the standard deviation is 5 inches. Find the interval estimates for the mean of the population with 95% and 99% confidence intervals. (7M)

b) Random samples of 400 men and 600 women were asked whether they would like to have a flyover near their residence. 200 men and 325 women were in favour of the proposal. Test the hypothesis that proportions of men and women in favour of the proposal are same at 5% level. (7M)

5. a) The following are the number of mistakes per page in a book:

Fit a Poisson distribution and test the goodness of fit at α = 0.05 level of significance. (7M)

b) Explain about one-way classification. (7M)

--- Content provided by‍ FirstRanker.com ---

6. A self-service store employs one cashier at its counter. Nine customers arrive on an average every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service rate, find

(i) Average number of customers in the system.

(ii) Average number of customers in the queue.

(iii) Average time a customer spends in the system.

(iv) Average time a customer waits before being served. (14M)

--- Content provided by‍ FirstRanker.com ---

7. a) Fit a regression equation of Y on X from the data given below. Also predict Y if X=10.

(7M)

b) Calculate the coefficient of correlation from the following data. (7M)

--- Content provided by FirstRanker.com ---