GATE ME 2014 Set 3 — Question 38
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Engineering Mathematics → Probability → Expectation & Moments
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Question
A machine produces 0, 1 or 2 defective pieces in a day with associated probability of 1/6, 2/3 and 1/6, respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are
Correct answer
(A) 1 and 1/3
Solution
Let be the random variable representing the number of defective pieces.
The possible values of and their probabilities are:
Mean value (Expected value)
Variance :
First, calculate :
Now,
So, the mean value is 1 and the variance is 1/3.The correct option is (A).
The possible values of and their probabilities are:
Mean value (Expected value)
E(X):Variance :
First, calculate :
Now,
So, the mean value is 1 and the variance is 1/3.The correct option is (A).
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