Final answer:
To find the value of P(VIM), we need to find the probability of a farmer growing vegetables given that they live in the Midwest. However, the given information does not provide enough data to calculate this probability.
Step-by-step explanation:
To find the value of P(VIM), we need to calculate the probability of a farmer growing vegetables given that they live in the Midwest. In other words, we want to find P(V|IM).
We can use the formula:
P(V|IM) = P(V∩IM) / P(IM)
Given that the sample space is a farmer population and M represents farmers living in the Midwest and V represents farmers growing vegetables, we have:
P(V|IM) = Number of farmers who live in the Midwest and grow vegetables / Number of farmers who live in the Midwest.
From the given information, we can see that there is not enough data or specific numbers to calculate the required probability. Therefore, we cannot determine the value of P(VIM) with the given information.