Final answer:
The average score of Adrian's favorite team relative to its opponent is 0.333 points, indicating that on average, the team was slightly ahead based on the intermittent observations during the game.
Step-by-step explanation:
To calculate the average score of Adrian's favorite team relative to its opponent, we need to consider the number of times the team was ahead, behind, and tied. Since Adrian checked the score every 10 minutes over the course of 3 hours, we have a total of 18 observations (because 3 hours is 180 minutes and 180/10 is 18).
For 6 times the team was ahead by 5 points each time, this gives us:
6 times * 5 points = 30 points.
For the 6 times the team was behind by 4 points each time, this gives us:
6 times * (-4 points) = -24 points.
All other times were ties, which contribute 0 points to the average.
Summing these up, we get 30 points - 24 points = 6 points. Now, to find the average, we divide by the total number of observations, which is 18.
The average score relative to the opponent is then:
6 points / 18 observations = 0.333 points.
(b) This value means that on average, Adrian's favorite team was slightly ahead of the opponent, by about 0.333 points, according to the observations taken every 10 minutes over the course of the game.