Answer:
785 acres
Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Let X represent the random variable amount of corn yield
Assuming the X follows a normal distribution
And we know that the average is dsitributed:
And we are interested on this probability:
For this case we can use the z score formula given by:
If we apply this we got:
And since we have a proportion estimated and we hava a total of 1200 acres the expected to yield more than 180 bushels of corn per acre would be:
And if we round up this amount we got and that would be the best option for this case.