For the population of farm workers in a certain country, suppose that weekly income has a distribution that is skewed to the right with a mean of p = $600 and a standard deviation of o = $209. A researcher, unaware of these values, plans to randomly sample 121 farm workers and use the sample mean weekly income x to estimate p. Complete parts a through c below. - . . . . a. What is the standard deviation of x? (Type an integer or a decimal. Do not include the $ symbol in your answer.) b. Explain why it is almost certain that the sample mean will fall within $57 of $600. Choose the correct answer below. O A. The empirical rule says that if a distribution of data is bell shaped, then all or nearly all observations fall within 3 standard deviations of the mean. The mean of a sample of such observations would also fall within 3 standard deviations of the overall mean. O B. The empirical rule says that if a distribution of data is bell shaped, then all or nearly all observations fall within 2 standard deviations of the mean. The mean of a sample of such observations would also fall within 2 standard deviations of the overall mean. O C. The empirical rule says that if a distribution of data is bell shaped, then all or nearly all observations fall within 57 units of the mean. The mean of a sample of such observations would also fall within 57 units of the overall mean. C. The sampling distribution of x provides the probability that x falls within a certain distance of p, regardless of the value of p. Calculate the probability that x falls within $29 of p for all such workers