Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 199, with a standard deviation of 39.8 (the uni are milligrams per deciliter). A simple random sample of 107 adults is chosen. Use & Cumulative Normal Distribution Table if needed. Round the answers to at least four decimal places. Part: 0 / 3 Part 1 of 3 (a) What is the probability that the sample mean cholesterol level is greater than 207? The probability that the sample mean cholesterol level is greater than 207 is Part: 1 / 3 Part 2 of 3 (b) What is the probability that the sample mean cholesterol level is between 187 and 193? The probability that the sample mean cholesterol level is between 187 and 193 is XPart 3 of 3 (c) Would it be unusual for the sample mean to be less than 194? It (Choose one) V be unusual for the sample mean to be less than 194, since the probability isPay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p=0.326. As part of a tax audit, tax officials draw a simple sample of n= 120 tax returns. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary. Part 1 of 4 (a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.30? The probability that the sample proportion of tax returns for which no tax was paid is less than 0.30 is Part 2 of 4 (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.38 and 0.42? The probability that the sample proportion of tax returns for which no tax was paid is between 0.38 and 0.42 isPart 3 of 4 (c) What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0.33? The probability that the sample proportion of tax returns for which no tax was paid is greater than 0.33 is Part 4 of 4 (d) Would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.25? It (Choose one) V be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.25, since the probability is