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? Round your answer to the nearest tenth.
(1 point)
40.0%
• 45.5%
83.3%
100.0%
c. 70.6%
To calculate the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to find the relative frequency of farmers who prefer to grow carrots and have rocky soil.
Let's assume that out of all the farmers surveyed:
- 10% prefer to grow carrots and have rocky soil
- 20% prefer to grow carrots and have clay soil
- 30% prefer to grow carrots and have loamy soil
- 40% prefer to grow carrots and have sandy soil
Therefore, out of all the farmers who prefer to grow carrots, 10% have rocky soil.
So, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 10.0%.