please explain this,

1) 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. If a study included 1200 acres, about how many would be expected to yield more than 206 bushels of corn per acre?

812 acres

226 acres

188 acres

974 acres

2) On average, the parts from a supplier have a mean of 31.8 inches and a standard deviation of 2.4 inches. Find the probability that a randomly selected part from this supplier will have a value between 29.4 and 34.2 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?

Probability is 0.68, which is consistent with the Empirical Rule

Probability is 0.68, which is inconsistent with the Empirical Rule

Probability is 0.95, which is inconsistent with the Empirical Rule

Probability is 0.997, which is inconsistent with the Empirical Rule

3) The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.9 years, what warranty should be provided so that the company is replacing at most 3% of their toasters sold?

4.1 years

4.3 years

6.2 years

5.7 years

4) A running shoe company wants to sponsor the fastest 3% of runners. You know that in this race, the running times are normally distributed with a mean of 6.8 minutes and a standard deviation of 0.37 minutes. How fast would you need to run to be sponsored by the company?

7.4 minutes

6.1 minutes

6.2 minutes

7.5 minutes