Suppose a different student reaches in the bag, randomly selects their twenty chips, and estimates that 60% of the students are male. How many yellow chips were in their sample?
- yellow chips.
I'll be glad to check your answer.
12
To determine the number of yellow chips in the sample, we need to consider the estimated proportion of male students in the sample. Let's break down the steps to find the answer:
1. Calculate the estimated number of male students in the sample:
Multiply the estimated proportion of male students (60%) by the total number of students in the sample (20 chips).
Estimated number of male students = 60% * 20 chips = 0.6 * 20 chips = 12 chips
2. Determine the number of yellow chips in the sample:
Since the color of the chips is independent of the gender, we assume that the proportion of yellow chips is the same for both male and female students. Therefore, we can estimate that the proportion of yellow chips in the sample is the same as the proportion in the original bag.
3. Use the original proportion of yellow chips to find the number of yellow chips in the sample:
Multiply the proportion of yellow chips (40% or 0.4) by the total number of students in the sample (20 chips).
Estimated number of yellow chips = 0.4 * 20 chips = 8 chips
Therefore, the estimated number of yellow chips in the sample is 8 chips.