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Zendaya recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar $7$ Bass $15$ Drums $12$ Keyboard $6$ Eighth Grade Students Instrument # of Students Guitar $7$ Bass $13$ Drums $8$ Keyboard $12$ Based on these results, express the probability that an eighth grader chosen at random will play the drums as a percent to the nearest whole number.

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Find probabilities using the binomial distribution

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Q. Zendaya recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar

7

Bass

15

Drums

12

Keyboard

6

Eighth Grade Students Instrument # of Students Guitar

7

Bass

13

Drums

8

Keyboard

12

Based on these results, express the probability that an eighth grader chosen at random will play the drums as a percent to the nearest whole number.

Identify Total Students: Identify the total number of eighth grade students and the number of eighth grade students who play the drums. $\newline$ Total eighth grade students = $7$ (Guitar) + $13$ (Bass) + $8$ (Drums) + $12$ (Keyboard) = $40$ students. $\newline$ Number of eighth grade drum players = $8$ .
Calculate Probability: Calculate the probability that an eighth grader plays the drums. $\newline$ Probability = $\frac{\text{Number of eighth grade drum players}}{\text{Total eighth grade students}} = \frac{8}{40}$ .
Convert to Percentage: Convert the probability to a percentage. $\newline$ Percentage = $(\text{Probability} \times 100) = \left(\frac{8}{40}\right) \times 100 = 20\%$ .

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