KTU B.TECH S4 MODEL QUESTIONS PROBABILITY DISTRIBUTIONS,TRANSFORMS AND NUMERICAL METHODS [ PDTM ] MA202 | QUESTION BANK | IMPORTANT QUESTIONS - |



KTU B.TECH S4 MODEL QUESTIONS PROBABILITY DISTRIBUTIONS,TRANSFORMS AND NUMERICAL METHODS 
[ PDTM ] MA202

KTU B.TECH S4 MODEL QUESTIONS PROBABILITY DISTRIBUTIONS,TRANSFORMS AND NUMERICAL METHODS [ PDTM ] MA202 | QUESTION BANK | IMPORTANT QUESTIONS - |
1. (a) Check whether the functionKTU B.TECH S4 MODEL QUESTIONS PROBABILITY DISTRIBUTIONS,TRANSFORMS AND NUMERICAL METHODS [ PDTM ] MA202 | QUESTION BANK | IMPORTANT QUESTIONS - |can serve as probability distribution. 


(2) (b) Given thatKTU B.TECH S4 MODEL QUESTIONS PROBABILITY DISTRIBUTIONS,TRANSFORMS AND NUMERICAL METHODS [ PDTM ] MA202 | QUESTION BANK | IMPORTANT QUESTIONS - |is a probability distribution. Find k.

2. Derive mean of a binomial distribution. 

3. During one stage in the manufacture of integral circuit chips a coating must be applied. If 70% chips receive a thick enough coating, find probabilities that among 15 chips 

(a) atleast 12 will have thick enough coating. 

(b) atmost 6 will have thick enough coating. 

(c) exactly 10 will have thick enough coating. 

4. Find the positive solution of 2sinx=x using Newton-Raphson method. 

5. Use Newton-Raphson method to find a root of the equation x^3-2x-5=0.

6. (a) Given f(2)=9 and f(6)=17. Find an approximate value of f(5) by linear Lagrange’s interpolation.

(b) Compute an approximate value of ln 9.2 correct to 4 decimal places from ln 9.0=2.1972 and ln 9.5=2.2513 by linear Lagrange interpolation.


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