21. what is the conditional frequency of green smoothies among tangy smoothies?\n| flavor/type | fruity |…

21. what is the conditional frequency of green smoothies among tangy smoothies?\n| flavor/type | fruity | green | protein | total |\n| --- | --- | --- | --- | --- |\n| sweet | 50 | 30 | 20 | 100 |\n| tangy | 40 | 25 | 15 | 80 |\n| savory | 30 | 20 | 10 | 60 |\n| total | 120 | 75 | 45 | 240 |\n\\(\\circ\\) a. 50%\n\\(\\circ\\) b. 67%\n\\(\\circ\\) c. 31%\n\\(\\circ\\) d. 42%

21. what is the conditional frequency of green smoothies among tangy smoothies?\n| flavor/type | fruity | green | protein | total |\n| --- | --- | --- | --- | --- |\n| sweet | 50 | 30 | 20 | 100 |\n| tangy | 40 | 25 | 15 | 80 |\n| savory | 30 | 20 | 10 | 60 |\n| total | 120 | 75 | 45 | 240 |\n\\(\\circ\\) a. 50%\n\\(\\circ\\) b. 67%\n\\(\\circ\\) c. 31%\n\\(\\circ\\) d. 42%

Answer

Explanation:

Step1: Identify relevant values

From the table, for Tangy smoothies, the number of Green smoothies is 25, and the total number of Tangy smoothies is 80.

Step2: Calculate conditional frequency

Conditional frequency = (Number of Green smoothies among Tangy) / (Total number of Tangy smoothies) × 100% = $\frac{25}{80} \times 100%$ Calculate $\frac{25}{80} = 0.3125$, then $0.3125 \times 100% = 31.25% \approx 31%$

Answer:

c. 31%