Question

Assume you know the probability of being male is 50% and the probability of being female...

Assume you know the probability of being male is 50% and the probability of being female is 50%, and you also know that the probability of having red hair is 10%. You sample 1000 people, and find that 1% of your sample are red-headed women. Does this evidence suggest that:

a. Red hair color and gender are independent

b. Red hair color and gender are not independent

Math   Statistics-And-Probability   
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Answer #1

P( a randomly selected person is female and red headed) = 0.01

P( a randomly selected person is female) = 0.50

and

P( a randomly selected person is red headed) = 0.10

Now,

P( a randomly selected person is female and red headed) = 0.01

So, P( a randomly selected person is female and red headed) P( a randomly selected person is female) *P( a randomly selected person is red headed)

So, the evidence suggests that :

ans-> b. Red hair color and gender are not independent

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