MA7155-Applied Probability and Statistics Question Bank

www.universityquestions.in DEPARTMENT OF MATHEMATICS MA7155 – APPLIED PROBABILITY AND STATISTICS (UNIVERSITY QUESTIONS & QUESTION BANK) BANK)

UNIT- I ONE DIMENSIONAL RANDOM VARIABLES

PART – A 1. Define random variable. 2.

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A continuous random variable X has a pdf f(x) = 3x , 0 ≤ x ≤1, Find a and b such that P(x ≤ a) = P(x > a) and P(x > b) = 0.05

3. The first 4 moments about 3 are 1 and 8. Find the mean and variance 4. Define moment generating function of a random variable X. 5. If X is a Poisson variate such that P ( X =2 ) =9 P (X =4 ) +90 P ( X = 6 ) .Find the variance of X. 3

6. If X is a continuous RV with p.d.f. f(x) =2x ,0 8

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