Examine the data from a survey of farmers about their different soil types, and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots, they have rocky soil? Around your answer to the nearest tenth.
To calculate the percentage chance that if a farmer prefers to grow carrots, they have rocky soil, we need to find the proportion of farmers who prefer to grow carrots and have rocky soil.
Let's say that out of a total of 100 farmers surveyed:
- 30 farmers prefer to grow carrots
- 15 out of those 30 farmers have rocky soil
Therefore, the relative frequency of farmers who prefer to grow carrots and have rocky soil is 15/100 = 0.15.
To convert this to a percentage, we multiply by 100:
0.15 * 100 = 15%.
Therefore, there is a 15% chance that if a farmer prefers to grow carrots, they have rocky soil.