Please please help me with all parts. Thank you so much!

Q 1.

In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 59 acres. Suppose we randomly survey 43 farmers from 1940. Part (a) In words, define the random variable X. the number of acres of a U.S. farm the number of animals on a U.S. farm the number of square feet of a U.S. farm the number of U.S. farms Part (b) In words, define the random variable X. the average number of animals on a U.S. farm the average number of acres of a farm in the sample of 43 farmers the average number of farms in each state in the United States the average number of square feet of a farm in the sample of 43 farmers Part (c) Give the distribution of X. (Round your standard deviation to two decimal places.) x ~ Part (d) The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between what two values? (Round your answers to two decimal places.) acres (smaller value) acres (larger value)Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,500. We randomly survey ten teachers from that district. Part (a) In words, define the random variable X. the salary of an elementary school teacher in the district the number of elementary schools in the district the number of teachers in an elementary school in the district the number of teachers in the district Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X ~ ? v Part (c) In words, define the random variable EX. O the sum of salaries of ten teachers in elementary schools in the district the sum of all districts with ten elementary schools the sum of all teachers in ten elementary schools in the district the sum of salaries of ten elementary school administrators in the district Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX ~ ?Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) Find the 70th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) |$ Find the 70th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) |$ If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part (d)? O The distribution would shift to the left. 0 The distribution would not change. 0 The distribution would become an exponential curve. 0 The distribution would be a more symmetrical normal curve. 0 The distribution would shift to the right. If each of the 70 teachers received a $3000 raise, graphically, how would that change the distribution in part (b)? O The distribution would take a more narrow shape. 0 The distribution would shift to the right. 0 The distribution would not change. 0 The distribution would take a wider shape. 0 The distribution would shift to the left