Question

A sociologist wonders whether the genders are equally distributed among different areas of New York City. So he/she randomly surveys people at bus stops different areas of the city and asks them for the gender they most closely identify with at that moment. The results are shown below Male Female Manhattan Brooklyn Queens The Bronx Staten Island 18 12 20 27 35 112 8 10 16 20 4 16 64 48 If I randomly select someone from a bus stop in New York what is the probability it will be a female from Queens? Answer to four decimals If I'm in Brooklyn and I decide to strike up a conversation with the random person next to me at a bus stop what is the probability that will be someone who identifies as male? Answer to four decimals

Answer 1

Answer 1.

4/112 = 0.0357

Randomly selecting anyone from New York hence it could be anyone out of 112

Female from Queens total of which is 4

Hence probability is 4/112 = 0.0357

Answer 2.

1/12 = 0.0833

Randomly selecting anyone from Brooklyn hence it could be anyone out of 12

Male from Brooklyn total of which is 1

Hence probability is 1/12 = 0.0833