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Based on the data in this two-way table, which statement is true? Type of Flower/Color Red Pink Yellow Total Rose 40 20 45 105 Hibiscus 80 40 90 210 Total 120 60 135 315 P(flower is yellow|flower is rose) ≠ P(flower is yellow) P(flower is hibiscus|color is red) = P(flower is hibiscus) P(flower is rose|color is red) = P(flower is red) P(flower is hibiscus|color is pink) ≠ P(flower is hibiscus)

Respuesta :

Blitztiger
1st choice: If the flower is a rose (total rose = 105), there are 45 yellow ones, so P(yellow|rose) = 45/105 = 3/7. P(yellow) = total yellow / total = 135 / 315 = 3/7. Therefore, these are equal, and this statement is not true.
2nd choice: P(hibiscus|red) = red hibiscus / red = 80 / 120 = 2/3. P(hibiscus) = hibiscus / total = 210 / 315 = 2/3. This is true.
Therefore the second statement is true.

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