At a speeding dating event, 35% of the people you have to choose from are brunet

Question

At a speeding dating event, 35% of the people you have to choose from are brunette (event B) and 11% are wealthy (event W). Using relative frequency you know that the probability of a date being brunette and wealth is 7%. What can you conclude about the independece of "brunette" and "wealthy"?

A. They are independent b/c the theoretical P(BW) is equal to the relative frequency P(BW).

B. They are independent b/c the theoretical P(BW) is not equal to the relative frequency P(BW).

C. They are dependent b/c the theoretical P(BW) is equal to the relative frequency P(BW).

D .They are dependent b/c the theoretical P(BW) is not equal to the relative frequency P(BW).

A. They are independent b/c the theoretical P(BW) is equal to the relative frequency P(BW).

B. They are independent b/c the theoretical P(BW) is not equal to the relative frequency P(BW).

C. They are dependent b/c the theoretical P(BW) is equal to the relative frequency P(BW).

D .They are dependent b/c the theoretical P(BW) is not equal to the relative frequency P(BW).

Explanation / Answer

The theoretical value for P(B n W) if they are independent is

P(B n W) = P(B) P(W) = 0.35*0.11 = 0.0385

However, the actual P(B n W) = 0.07.

Hence,

OPTION D .They are dependent b/c the theoretical P(BW) is not equal to the relative frequency P(BW). [ANSWER]

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