A teacher brings a bag of marbles containing 800 white marbles and 400 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, 63 are red. (a) Identify the population. The 400 white marbles The 1200 marbles The 200 marbles The 63 red marbles (b) What proportion of the population is red? When writing a fraction, remember to avoid spaces. For example: \( 1 / 2 \). The

In this scenario, the entire collection of marbles in the bag is considered the population. There are 800 white marbles and 400 red marbles, making a grand total of 1200 marbles in the bag. So, the population consists of all 1200 marbles. To find the proportion of red marbles in the population, you can use the formula: the number of red marbles divided by the total number of marbles. Here, the number of red marbles is 400, and the total is 1200. When you plug in the numbers, the proportion of red marbles is \( 400 / 1200 \), which simplifies to \( 1 / 3 \). So, approximately one-third of the marbles are red!