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junior college 2 | H2 Maths
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Pls help me, thanks
Date Posted: 4 years ago
Views: 335
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note that this question is not about binomial distribution.
for binomial distribution, the probability of 'success' for each trial, must be constant.
to form the committee of 3, the men & women are selected from a small pool of 10. the probability of a particular committee member being a woman, is not a constant. for example, if there are 6 men and 4 women, the probability of the 1st member being woman is 4/10, but thereafter, the probability of the 2nd member being woman is 3/9. so the probability varies.
to answer this question, we need to go back to the basic definition of E(W) and Var(W).
E(W) = summation [ w P(W=w) ]
Var(W) = E (W^2) - [ E(W) ] ^2
for binomial distribution, the probability of 'success' for each trial, must be constant.
to form the committee of 3, the men & women are selected from a small pool of 10. the probability of a particular committee member being a woman, is not a constant. for example, if there are 6 men and 4 women, the probability of the 1st member being woman is 4/10, but thereafter, the probability of the 2nd member being woman is 3/9. so the probability varies.
to answer this question, we need to go back to the basic definition of E(W) and Var(W).
E(W) = summation [ w P(W=w) ]
Var(W) = E (W^2) - [ E(W) ] ^2
have you got any answer from your teacher regarding the committee of 14 people question which you posted last week?
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