# KTU B.Tech S4 Question Papers For Probability Distributions,Transforms And Numerical Methods [ PDTM ] MA202 | Question Bank | Important Questions - ||

**KTU B.Tech S4 Question Papers For Probability Distributions,Transforms And Numerical Methods [PDTM]**

1. Check whethercan define probability distribution. Explain.

2. Find mean and Variance for the following probability distribution:

3. If the probability is 0.05 that a certain wide-flange column will fail under a given axial load, what are the probabilities that among 16 such columns,

i) At most 2 will fail

ii) At least 4 will fail

4. Design a Newton’s-Raphson formula to find cube root of a given positive number and apply it for C = 7, X0 = 2.

5. Apply Newton-Raphson Method to the equation f(x ) = x^3+ x− 1 = 0, (Four Iteration).

6. State the conditions for Poisson approximation to Binomial distribution. Approximate
Binomial distribution as Poisson .

OR

7. i) The probability that a person suffers bad reaction due to a certain injection is 0.001. Determine out of 2000 individuals, the probability of exactly 3 will suffer the bad reaction and probability of more than 2 will suffer bad reaction.

ii) The probability that a bomb dropped from a plane will hit the target is 1/5. If 6 bombs are dropped , find the probability of exactly 2 will strike the target and probability of at least 2 will strike the target.

8.Given f(32) = 0.5299, f(35) = 0.5736, f(38) = 0.6157, f(41) = 0.6561, f(44) = 0.6947. Find f(42) and f(43) using Interpolation.

9. Using Langrange’s formula, fit a polynomial for the following data.

x:1 2 7 8

y:4 5 5 4

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