Question 817:

Asked on October 8, 2009

Tags: Binomial Probability

1

Answer:

No answer provided yet.Women
If North is correct, the probability of 2/3 women saying North is 2/3 bin .80 = .384
If West is correct, the probability of 1 out of 3 women saying West = 1/3 bin .80 = .096
If South is correction the probability of 0 out of 3 is 0/3 bin .80 = .008

Men
Probability of West Being Correct : 2/3 bin .50 = .375
Probability of South Being Correct : 1/3 bin .50 = .375
If North is correction the probability of 0 out of 3 is 0/3 bin .50 = .125

The men and women's probabilities are independent so the multiplication rule states that the product of the probabilities is the chance of both occurring--so we multiply them.

The probability it is North given 2/3 women and 0/3 men is .384*.125 = .048
The probability it is West given 2/3 women and 0/3 men is .375*.096 = .036
The probability it is South given 2/3 women and 0/3 men is .375*.096 = .036