People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.

Pink lemonade: 156 males, 72 females Yellow lemonade: 104 males, 48 females The events "prefers pink lemonade" and "female" are independent because

- P (pink lemonade | female) = P (pink lemonade) = 0.6.

- P (female | pink lemonade) = P (pink lemonade) = 0.3.

- P (pink lemonade | female) = 0.3 and P (pink lemonade) = 0.6.

- P (female | pink lemonade) = 0.3 and P (pink lemonade) = 0.6.

Question

Dork

Mathematics

16 December, 04:17

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.

Pink lemonade: 156 males, 72 females Yellow lemonade: 104 males, 48 females The events "prefers pink lemonade" and "female" are independent because

- P (pink lemonade | female) = P (pink lemonade) = 0.6.

- P (female | pink lemonade) = P (pink lemonade) = 0.3.

- P (pink lemonade | female) = 0.3 and P (pink lemonade) = 0.6.

- P (female | pink lemonade) = 0.3 and P (pink lemonade) = 0.6.

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Answers (1)

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Lia Horn · Answer 1

P (pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P (pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P (pink lemonade | female) = P (pink lemonade) = 0.6