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# MA8391 Question Bank Probability and Statistics Regulation 2017 Anna University

## MA8391 Question Bank Probability and Statistics Regulation 2017

### Sample MA8391 Question Bank Probability and Statistics

1. (a) A bolt is manufactured by 3 machines A, B, and C. A turns out twice as many
items as B and machines B and C produce equal number of items. 2% of bolts
produced by A and B are defective and 4% of bolts produced by C are
defective. All bolts are put into 1 stock pile and 1 is chosen from this pile.
What is the probability that it is defective?
MA8391 Question Bank Probability and Statistics
1. (b) Find the MGF of Binomial distribution and hence find its mean and variance BTL2 Understanding
2. (a) A bag contains 5 balls and it is not known how many of them are white.
Two balls are drawn at random from the bag and they are noted to be white.
What is the change that all balls in the bag are white?
BTL2 Understanding
2. (b) Find the MGF of Geometric distribution and hence find its mean and
variance
MA8391 Question Bank Probability and Statistics
3. (a) An urn contains 10 white and 3 black balls. Another urn contains 3 white and
5 black balls. Two balls are drawn at random from the first urn and placed in
the second urn and then 1 ball is taken at random from the latter. What is the
probability that it is a white ball?
MA8391 Question Bank Probability and Statistics
3. (b) Derive the MGF of Poisson distribution and hence find its mean and variance

 Subject Name Probability and Statistics Subject Code MA8391 Regulation 2017 File PDF