Please please help me with all parts, I have due tomorrow! Thank you so much!

Q 1.

In a certain presidential election, Alaska's 40 election districts averaged 1,951.8 votes per district for a candidate. The standard deviation was 572.3. (There are only 40 election districts in Alaska.) The distribution of the votes per district for one candidate was bell-shaped. Let X = number of votes for this candidate for an election district. - Part (a) State the approximate distribution of X. (Enter your numerical values to one decimal place.) m4 , ) Part (b) ls 1,951.8 a population mean or a sample mean? How do you know? 0 A population mean, because all election districts are included. 0 A population mean, because only a sample of election districts are included. 0 A sample mean, because only a sample of election districts are included. 0 A sample mean, because all election districts are included. El Part (0) Find the probability that a randomly selected district had fewer than 1,600 votes for this candidate. (Round your answer to four decimal places.) Sketch the graph. 0.0007 0.0006 0.0005 0.0004 0.0003 0.0002 0.0001 0 1000 0.0007 0.0006 0.0005 0.0004 0.0003 0.0002 0.0001 0 1000 Write the probability statement. P( ) 2000 2000 3000 3000 4000 4000 0.0007 0.0006 0.0005 0.0004 0.0003 0.0002 0.0001 0 1000 2000 3000 4000 0.0007 0.0006 0.0005 0.0004 0.0003 0.0002 0.0001 0 1000 2000 3000 4000 Find the probability that a randomly selected district had between 1,800 and 2,000 votes for this candidate. (Round your answer to four decimal places.) Find the third quartile for votes for this candidate. (Round your answer up to the next vote.) votes ! The percent of fat calories that a person consumes each day is normally distributed with a mean of about 34 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) Give the distribution of )7. (Round your standard deviation to two decimal places.) x ~ 7 v (b) For the group of 16, find the probability that the average percent of fat calories consumed is more than seven. (Round your answer to four decimal places.) Graph the situation and shade in the area to be determined. none none 0.15 0.10 0.05 i O 10 15 20 30 35 40 none 0.15 0.10 0.05 i _ O 10 15 20 25 30 35 40 X 0 15 20 25 30 35 40 (c) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories Salaries for teachers in a particular elementary school district are normally distributed with a mean of $45,000 and a standard deviation of $6,400. We randomly survey ten teachers from that district. Part (a) In words, define the random variable X. the number of elementary schools in the district the number of teachers in an elementary school in the district the salary of an elementary school teacher in the district O the number of teachers in the district Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X - ? y - Part (c) In words, define the random variable EX. O the sum of all teachers in ten elementary schools in the district the sum of salaries of ten elementary school administrators in the district the sum of all districts with ten elementary schools the sum of salaries of ten teachers in elementary schools 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 $400,000. (Round your answer to four decimal places.) Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) |$ Find the 90th 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 become an exponential curve. 0 The distribution would not change. 0 The distribution would shift to the right. 0 The distribution would be a more symmetrical normal curve. If each of the 70 teachers received a $3000 raise, graphically, how would that change the distribution in part (b)? O The distribution would not change. 0 The distribution would shift to the left. 0 The distribution would take a more narrow shape. 0 The distribution would take a wider shape. 0 The distribution would shift to the right. Submit