Suppose that the test score of a student taking the final of a probability course is...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 79. (a) Give an upper bound for the probability that a student's test score will exceed 89. P{score > 89} < (b) Suppose that we know, in addition, that the variance of students' test scores on the final is 22. What can you say about the probability that a student will score between 69 and 89 (do not use the central limit theorem)? P{69 score 89) 7 (c) How many students would have to take the final to ensure with a probability of at least 0.9 that the class average would be within 5 of 79 (do not use the central limit theorem)? " (d) If you use the central limit theorem in (c), what is your estimate for the number of students needed? 11= Suppose that the test score of a student taking the final of a probability course is a random variable with mean 79. (a) Give an upper bound for the probability that a student's test score will exceed 89. P{score > 89} < (b) Suppose that we know, in addition, that the variance of students' test scores on the final is 22. What can you say about the probability that a student will score between 69 and 89 (do not use the central limit theorem)? P{69 score 89) 7 (c) How many students would have to take the final to ensure with a probability of at least 0.9 that the class average would be within 5 of 79 (do not use the central limit theorem)? " (d) If you use the central limit theorem in (c), what is your estimate for the number of students needed? 11=
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
In Problems 4358, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the...
-
How would you explain the change in Berkshire Hathaway's market-to-book ratio?
-
Solve each inequality. Give the solution set in interval notation. |1/2 - x| < 2
-
Nomura Manufacturing Company is a job shop. The management of Nomura uses the cost information from the job sheets to assess cost performance. Information on the total cost, product type, and...
-
Visit www. pearsonhighered. com/ Horngren to view a link to Starbucks Corporations Fiscal 2011 annual report. Refer to the Starbucks Corporation financial statements, including Notes 1 and 6. Answer...
-
Problem 10-04 A company goes public by using an auction. The bids are contained in the table below. The firm wants to sell 10 million shares. Number of Price ($) Shares (millions) 23 3.5 22 6.0 21...
-
Use the document entitled, What Is UML to assist in answering the following questions. Feel free to do more research on the Internet on each type of diagram if you feel it is required. We will be...
-
A plano-convex lens has a focal length of \(170 \mathrm{~mm}\), and the material of which the lens is made has an index of refraction of 1. 6. What is the radius of curvature of the convex surface?
-
Does a social entrepreneur have a moral obligation to grow her or his venture? Why, or why not?
-
How can measuring a frms social impact have an infuence on making sure the venture is effective in staying true to its mission?
-
What is the difference between growth and development? How can and should they be related?
-
Identify each of the following as a consumer product or a business product, or classify it as both: a. frozen yogurt b. iPad c. gasoline d. boat trailer e. hand sanitizer f. Post-its
-
When CO2 diffuses into the bloodstream, the following reactions occur: CO2(g) + H2O(I) H2CO3(aq) HCO3 (aq) + H* (aq) The reactions shown shifts to the and the pH. O right, lowers None of the above O...
-
What tools are available to help shoppers compare prices, features, and values and check other shoppers opinions?
Study smarter with the SolutionInn App