A report announced that the median sales price of new house is sold one year was $231,000, and the main sales price was $270,900. I assume that the standard deviation of the prices is $100,000. Complete parts A through D below.

(a) if you select samples of N=2, describe the shape of the sampling distribution of X.

a. The sampling distribution will depend on the specific sample and will not have a constant shape b. The sampling distribution will be approximately uniform c. The sampling distribution will be approximately normal d. The sampling distribution is skew to the right, but less skewed you to the right than the population

(b) if you still like samples of N=100, describe the shape of the sampling distribution of X.

a. The sampling distribution will depend on the specific sample and will not have a constant shape b. The sampling distribution will be approximately normal

c. The sampling distribution will be approximately uniform d. The sampling distribution skew to the right, but less skew you to the right of the population

(c). If you select a random sample of N=100, what is the probability that the sample mean will be less than $290,000?

The probability that the sample mean will be less than $290,000 is _____.

(round two Ford decimal places as needed)

(d) if you select a random sample of N=100, what is the probability that the sample mean will be between $280,000 and $295,000?

The probability that the sample mean will be between $280,000 and $295,000 is ______.

(round two for decimal places as needed)