Questions: A stem-and-leaf plot for the number of homeruns hit by 30 high school teams is shown. Find the probability that a team chosen at random hit at least 45 homeruns. Key: 2 8=28 1 89 2023347889 3 1134556899 4223569 5 15 A. 0.167 B. 0.867 C. 0.5 D. 0.818

Solution Steps

To find the probability that a team chosen at random hit at least 45 home runs, we need to:

1. Extract the number of home runs from the stem-and-leaf plot.
2. Count the total number of teams.
3. Count the number of teams that hit at least 45 home runs.
4. Calculate the probability by dividing the number of teams with at least 45 home runs by the total number of teams.

We extract the number of home runs from the stem-and-leaf plot: \[ \{18, 19, 20, 23, 23, 34, 37, 38, 39, 31, 31, 33, 34, 35, 36, 38, 39, 39, 42, 42, 23, 35, 36, 39, 51, 51, 15\} \]

The total number of teams is: \[ 27 \]

The number of teams that hit at least 45 home runs is: \[ 2 \]

The probability \( P \) that a team chosen at random hit at least 45 home runs is given by: \[ P = \frac{\text{Number of teams with at least 45 home runs}}{\text{Total number of teams}} = \frac{2}{27} \approx 0.07407 \]

Final Answer