A teacher brings a bag of marbles containing 600 white marbles and 200 red marbles. She asks her students to determine how many red marbles are in the bag without counting them. A student randomly draws 200 marbles from the bag. Of the 200 marbles, 47 are red. (a) Identify the population. The 200 white marbles The 800 marbles The 200 marbles The 47 red marbles (b) What proportion of the population is red? When writing a fraction, remember to avoid spaces. For example: \( 1 / 2 \).

The population in this scenario is the total collection of marbles in the bag, which includes both white and red marbles, making it the 800 marbles. To find the proportion of the population that is red, you divide the number of red marbles drawn (47) by the total number of marbles drawn (200). So, the proportion is \( 47 / 200 \). For a bit of fun, did you know that marbles have been around since ancient times? They were made from a variety of materials, including clay, stone, and glass, and they’ve evolved into the bright, colorful spheres we see today! Speaking of drawing marbles, a common mistake is assuming that each draw is independent when sampling from a small population. If your sample size is a significant fraction of the total population, the remaining marbles are not truly representative, which can skew your results! Always consider the size of your sample in relation to the total!