All covered blue area/portions are already completed and do not have any information needed for the unanswered areas. Therefore it is not essential to the problem for it to be solved.

Q1

Suppose that the length of research papers is uniformly distributed from 11 to 25 pages. We survey a class in which $5 research papers were turned in to a professor. The 55 research papers are considered a random collection of all papers. We are Interested in the average ength of the research papers. (@ Part [a] In words, define the random variable X the number of words in each research paper O the number of students in the professor's class O the number of students that turn in a research paper the number of pages of a research paper Part [b) Give the distribution of X X - Part (c) Enter an exact number as an integer fraction, or decimal @ Part [d) Round your answer to four decimal places. Part [e] In words, define the random variable X. O the average number of students in the professor's class O the average number of words in a research paper O the average number of pages of a research paper O the average number of students that burn in a research paper Part () Give the distribution of X. (Round your standard deviation to three decimal places. )Part (9) In words, define the random variable EX. the total number of research papers O the total number of students in the professors class the total number of pages of all 55 research papers O the total number of words in all 55 research papers Part (h) Give the distribution of EX. (Round your standard deviation to three decimal places.) EX - Part (i) Without doing any calculations, do you think that it's likely that the professor will need to read a total of more than 1060 pages? Why? O The distribution is uniform with a mean of 18 pages, making it highly unlikely that the professor would need to read more than 1060 pages. O It is likely that the professor will need to read more than 1060 pages because it is possible that all 55 students wrote 20 or more pages. Part () Calculate the probability that the professor will need to read a total of more than 1060 pages. (Round your answer to four decimal places.) Part (k) Why is it so unlikely that the average length of the papers will be less than 13 pages? O A 25-page paper is an outlier, which will make the average higher. There is no evidence of a student handing in a paper with less than 13 pages. The mean page length and the range in length make it unlikely that most of them are less than 13 pages. O Since 50% of the papers are below the mean, it is unlikely that they are less than 13 pages.[-/1 Points] DETAILS ILLOWSKYINTROSTAT1 7.2.008.PR. An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population. Find the probability that the sum of the 95 values is less than 7,400. (Round your answer to four decimal places.)/1 Points] DETAILS ILLOWSKYINTROSTAT1 7.2.010.PR. An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population. Find the sum that is 1.1 standard deviations below the mean of the sums. (Round your answer to two decimal places.)-/1 Points] DETAILS ILLOWSKYINTROSTAT1 7.2.011.PR. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the probability that the sum of the 40 values is greater than 7,400. (Round your answer to four decimal places.)-/1 Points] DETAILS ILLOWSKYINTROSTAT1 7.2.019.PR. A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100. Find the sum with a z-score of -2.8. (Enter an exact number as an integer, fraction, or decimal.)[-/1 Points] DETAILS ILLOWSKYINTROSTAT1 7.3.041.PR. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. Find the 80th percentile for the mean weight for the 100 weights. (Round your answer to two decimal places.)