Statistical and numerical methods
Previous year question paper with solutions for Statistical and numerical methods
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- The mean of five items of an observation is 4 and the variance is 5.2. If three of the items are 1.2 and 6, then find the other two.
- If the probability of a bad reaction from a certain injection is 0.001. Determine the chances that out of 2,000 individuals more than two will get a bad reaction.
- Explain rounding and truncation errors.
- Differentiate bisection and Newton-Raphson methods.
- Prove that if 𝜆𝜆 is an eigenvalue of a matrix A, then 1/ 𝜆𝜆 is an eigenvalue of A-1
- Write Newton's-forward interpolation formula.
- Explain normal sampling distributions.
- What are finite-difference methods.
- Write Newton-cots integration formula.
- Explain partial and complete pivoting.
- Show that standard deviation is independent of change of origin.
- Weather records show that the probability of high barometric pressure is 0.82 and the probability of rain and high barometric pressure is 0.20. Find the probability of rain, given high barometric pressure
- A body travels uniformly a distance of (13.8 ± 0.2) meters in a time (4 ± 0.3) seconds. Compute its velocity with error limits and what is percentage error in the velocity.
- State sufficient condition for the convergence of Iteration method.
- Find the relation between second order divided difference and second order forward difference
- Discuss Modified Euler’s method.
- Given log 100 = 2, log 101 = 2.0043, log 103 = 2.0128, log 104 = 2.0170. Find log 102.
- Give two properties of a Normal distribution.
- Define a random variable.
- Find the mean and mode of the set 8, 4, 7, 84, 9, 19, 5, 9.
- State Simpson’s 3/8 rule.
- State Newton- Gregory Backward difference interpolation formula.
- Find the relative error if 2/3 is approximated by 0.667.
- Find P (– t0.025 < t < t0.05).