Question

which question is not a statistical question?
○ what is the most common favorite color among students in my class?
○ what is the favorite color of my best friend?
○ how many students prefer blue over red in my school?
○ what is the range of favorite colors in my grade?

question 13
5 pts
a bag contains 3 red balls and 2 blue balls. if you pick one ball, replace it, and then pick another ball, how many possible outcomes are there for the sequence of colors?
○ there are 5 possible outcomes.
○ there are 9 possible outcomes.
○ there are 4 possible outcomes.
○ there are 6 possible outcomes.

Explanation:

First Question (Which question is NOT a statistical question?)

A statistical question involves collecting data from a group (with variability). "What is the favorite color of my best friend?" is about one individual, no variability or group data. Other questions involve groups (class, school, grade) with variable data.

Step1: Identify possible outcomes for each pick

Each pick (with replacement) has 2 color options: red (R) or blue (B).

Step2: Use multiplication principle

For two picks, number of outcomes = outcomes for first pick × outcomes for second pick. So $2\times2 = 4$? Wait, no—wait, the bag has red and blue, but when picking, the color options are red or blue (since we replace). Wait, no, the first pick: possible colors are red or blue (2 options). Second pick: same, 2 options. But wait, the balls are red and blue, so each pick can be R or B. So sequences: RR, RB, BR, BB. Wait, but the options have 4? Wait, let's recheck. Wait, the bag has 3 red and 2 blue, but when picking with replacement, the color possibilities are still red or blue (since we replace, the composition remains 3R, 2B, but the color of the ball picked is either R or B). So each pick: 2 choices (R or B). Two picks: $2\times2 = 4$? But wait, the options include "There are 4 possible outcomes." Wait, but let's confirm. The sequence of colors: first pick can be R or B, second pick can be R or B. So possible sequences: RR, RB, BR, BB. That's 4. Wait, but wait, maybe I made a mistake. Wait, the problem says "sequence of colors". So for each pick, color is R or B. So two picks: 2 (first) * 2 (second) = 4. So the correct option is "There are 4 possible outcomes."
Wait, no—wait, maybe I misread. Wait, the bag has red and blue balls. When you pick a ball, the color is either red or blue. So first pick: color is R or B (2 options). Second pick: same, 2 options (since replaced). So total outcomes: 2*2=4. So the answer is the option with 4.

Answer:

What is the favorite color of my best friend?

Question 13 (Bag of balls problem)