Answer: B. 461 acres
Step-by-step explanation:
Given : In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn.
i.e.
Let x denotes the amount of corn yield.
Now, the probability that the amount of corn yield is more than 190 bushels of corn per acre.
[Formula : ]
[∵ P(Z>z)=1-P(Z<z)]
[using z-value calculator or table]
Now, If a study included 1100 acres then the expected number to yield more than 190 bushels of corn per acre :-
hence, the correct answer is B. 461 acres .