Download MBBS TMU Final Year 2020 MBS402 Paediatrics Question Paper

Download MBBS (Bachelor of Medicine, Bachelor of Surgery) TMU (Teerthanker Mahaveer University) Final Year (4th Year) 2020 MBS402 Paediatrics Previous Question Paper

This post was last modified on 17 February 2022

Download Document

Box I contains 2 white and 3 blue balls and Box II contains 3 white and 1 blue ball. A ball is drawn at random from Box I and placed in Box II. Then a ball is drawn at random from Box II. What is the probability that it is a white ball? (7M)

Define discrete and continuous random variables with examples. (7M)

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

Define probability mass function and probability density function. (7M)
If the probability density of a random variable is given by \( f(x) = \begin{cases} kx, & 0 \leq x \leq 2 \\ 2k, & 2 \leq x \leq 4 \\ -kx + 6k, & 4 \leq x \leq 6 \\ 0, & \text{otherwise} \end{cases} \) Find k and the value of P(1 ≤ X ≤ 3). (7M)

UNIT - II

1. The average number of phone calls / minute coming into a switch board between 2pm and 4pm is 2.5. Find the probability that one particular minute there will be 4 or more calls. (7M)
2. Fit a Poisson distribution to the following data:
  X: 0 1 2 3 4
  F: 123 59 14 3 1 (7M)
OR
1. Define Normal distribution and write its properties. (7M)
2. In a normal distribution, 7% of the items are under 35 and 89% are under 63. Determine the mean and variance of the distribution. (7M)

UNIT - III

1. Write about null hypothesis, alternative hypothesis, Type-I and Type-II errors. (7M)
2. Samples of two types of electric light bulbs were tested for length of life and the following data were obtained:
  Sample No. | Size | Sample means | Sample S.D -------------|------|--------------|------------- Sample I | 8 | 1234 | 36 Sample II | 7 | 1036 | 40
  --- Content provided by FirstRanker.com ---
  Is there a significant difference between the means of two samples at 5% level of significance? (7M)
OR
1. A population consists of five numbers 2, 3, 6, 8 and 11. Consider all possible samples of size 2 which can be drawn with replacement from the population. Find
  1. The mean of the population
  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. (7M)
2. What is the maximum error one can expect to make with probability 0.95 when using the mean of random sample of size n=64 to estimate the population mean if σ² = 2.3? (7M)

UNIT - IV

1. Explain clearly the procedure generally followed in testing of hypothesis. (7M)
2. A die is thrown 9000 times and a throw of 3 or 4 was observed 3240 times. Show that the die cannot be regarded as an unbiased one and find the limits between which the probability of a throw of 3 or 4 lies. (7M)
OR
1. Explain the test of independence of attributes. (7M)
2. The number of automobile accidents per week in a certain community are as follows:
  12, 8, 20, 2, 14, 10, 15, 6, 9, 4.
  --- Content provided by⁠ FirstRanker.com ---
  Are these frequencies in agreement with the belief that accident conditions were the same during this 10 week period? (7M)

UNIT - V

1. Find the coefficient of correlation and the equations of regression lines for the following data:
  X: 1 2 3 4 5 6 7 8 9
  Y: 9 8 10 12 11 13 14 16 15 (7M)
2. Explain the procedure of fitting of straight line. (7M)
OR
1. What is the purpose of statistical quality control? Explain chance causes and assignable causes of variation. (7M)
2. Explain the construction and working of X chart and R chart. (7M)

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

FirstRanker.com