A baseball player hit 59 home runs in a season. Of the 59 home runs 18 went to right field, 16 went to right center, 8 went to center field, 12 went to left center field, and 5 went to left field.

A) What is the probability that a randomly selected home run was hit to left field?

B) Was it usual for this player to hit to left field?

clearly, p(LF) = 5/59

So, does that sound like it's where he usually hits? What does "usually" mean in terms of probability?

To find the answers to these questions, we need to calculate the probabilities and compare the results to determine whether it was usual for the player to hit to left field.

A) To find the probability that a randomly selected home run was hit to left field, we need to divide the number of home runs hit to left field by the total number of home runs:

Probability = Number of home runs hit to left field / Total number of home runs

In this case, the number of home runs hit to left field is 5, and the total number of home runs is 59.

Probability = 5 / 59 ≈ 0.0847

So, the probability that a randomly selected home run was hit to left field is approximately 0.0847 or 8.47%.

B) To determine whether it was usual for this player to hit to left field, we need to compare the number of home runs hit to left field with the other fields.

We can calculate the percentage of home runs hit to left field by using the following formula:

Percentage = (Number of home runs hit to left field / Total number of home runs) x 100

Percentage = (5 / 59) x 100 ≈ 8.47%

Now, we can compare this percentage to the percentages of home runs hit to other fields:

- Right field: (18 / 59) x 100 ≈ 30.51%
- Right center: (16 / 59) x 100 ≈ 27.12%
- Center field: (8 / 59) x 100 ≈ 13.56%
- Left-center field: (12 / 59) x 100 ≈ 20.34%

By comparing the percentages, we can see that hitting to left field (8.47%) is lower than hitting to right field (30.51%), right center (27.12%), and left-center field (20.34%). However, it is higher than hitting to center field (13.56%).

Based on this comparison, we can say that it is somewhat usual for this player to hit to left field, but it is not their preferred field compared to right field and right center.