Homework #3 STAT351.001 Spring 2024 Due: Monday, April 29th Include all work in a neat and...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Homework #3 STAT351.001 Spring 2024 Due: Monday, April 29th Include all work in a neat and well organized presentation. Grading is based on the quality, thoroughness, and correctness of the work provided. You do not need to print out this assignment; you may provide your work and answers on your own separate paper (had written is sufficient). Upload your solutions as a single PDF file to the "Homework 3" submission folder in our Canvas course. Your submission should be titled "(your name) STAT351 Homework 3." Notes: 1. Show all work, points are awarded based on the work provided. 2. When providing probabilities provide them as numbers between 0 and 1 (not as percentages), and keep at least 3 decimal places. 1. A transmitted "message" consists of 10 bits". Each bit is decoded correctly with probability .999, independent of the decoding of all other bits. a. what is the probability that the entire message (all 10 bits) is decoded correctly? what is the probability that exactly one of the 10 bits is decoded incorrectly? b. C. what is the probability that two or more of the bits" is decoded incorrectly? 3. Computer keyboard failure can be attributed to either electrical defects or mechanical defects. A repair facility currently has 20 failed keyboards, 6 of which failed due to an electrical defect and the remaining 14 failed due to a mechanical defect (and none of the keyboards have both, electrical and mechanical, defects). Five of the 20 failed keyboards will be randomly selected. Determine each of the following probabilities: a. Find the probability that exactly 2 of the 5 keyboards have an electrical problem. Find the probability that at least one of each type of defect is selected? b. 4. 5. A system is composed of a number of identical components, each one of which is operational with probability 0.90, independent of the other components. Components function or fail independent of the performance of all other components. The system is operational if there is at least one functional path from A to B. What is the probability of this happening? A B A, B, and C are independent events where P(A) = P(B) = P(C) = 0.30. Are events A and B mutually exclusive? Explain (with numbers). Determine P(A|B). a. b. C. d. Determine P(A|AUC). Determine P((An B)|(ANC)). Homework #3 STAT351.001 Spring 2024 Due: Monday, April 29th Include all work in a neat and well organized presentation. Grading is based on the quality, thoroughness, and correctness of the work provided. You do not need to print out this assignment; you may provide your work and answers on your own separate paper (had written is sufficient). Upload your solutions as a single PDF file to the "Homework 3" submission folder in our Canvas course. Your submission should be titled "(your name) STAT351 Homework 3." Notes: 1. Show all work, points are awarded based on the work provided. 2. When providing probabilities provide them as numbers between 0 and 1 (not as percentages), and keep at least 3 decimal places. 1. A transmitted "message" consists of 10 bits". Each bit is decoded correctly with probability .999, independent of the decoding of all other bits. a. what is the probability that the entire message (all 10 bits) is decoded correctly? what is the probability that exactly one of the 10 bits is decoded incorrectly? b. C. what is the probability that two or more of the bits" is decoded incorrectly? 3. Computer keyboard failure can be attributed to either electrical defects or mechanical defects. A repair facility currently has 20 failed keyboards, 6 of which failed due to an electrical defect and the remaining 14 failed due to a mechanical defect (and none of the keyboards have both, electrical and mechanical, defects). Five of the 20 failed keyboards will be randomly selected. Determine each of the following probabilities: a. Find the probability that exactly 2 of the 5 keyboards have an electrical problem. Find the probability that at least one of each type of defect is selected? b. 4. 5. A system is composed of a number of identical components, each one of which is operational with probability 0.90, independent of the other components. Components function or fail independent of the performance of all other components. The system is operational if there is at least one functional path from A to B. What is the probability of this happening? A B A, B, and C are independent events where P(A) = P(B) = P(C) = 0.30. Are events A and B mutually exclusive? Explain (with numbers). Determine P(A|B). a. b. C. d. Determine P(A|AUC). Determine P((An B)|(ANC)).
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
A 0.500-kg block, attached to a spring with length 0.60 m and force constant 40.0 N/m, is at rest with the back of the block at point A on a frictionless, horizontal air table (Fig. 7.44). The mass...
-
The Cash account in the general ledger of Hendry Corporation shows a balance of $96,990 at December 31, 2011 (prior to performing a bank reconciliation). The companys bank statement shows a balance...
-
Mrs. Roberts, in a diabetic coma, has just been admitted to Noble Hospital. Her blood pH indicates that she is in severe acidosis (low blood pH), and measures are quickly instituted to bring her...
-
The following data relate to a year's budgeted activity for Patsy Corporation, a single product company: {Required:} Total fixed costs remain unchanged within the relevant range of 25,000 units....
-
Shaker Stairs Co. designs and builds factory-made premium wooden stairways for homes. The manufactured stairway components (spindles, risers, hangers, hand rails) permit installation of stairways of...
-
Write the C programs for the following: A) Binary search algorithm
-
z s 4s Given z = exy tan y, x = 4s + 3t, y = 2, use the chain rule to find and z t
-
You are planning an audit sample for confirmation of accounts receivable. The aged trial balance of receivables after removal of individually significant items has a remaining population of...
-
For each one of the following statements indicate whether the statement is true or false. a. Decisions about the nature of auditing procedures to be applied are confined to selecting the particular...
-
Important audit procedures for the balance accounts receivable usually include the following: a Confirm account balances with selected customers. b Inquire of management and read agreements and...
-
The scope of audit procedures can be modified by varying the nature, timing, or extent of procedures selected. Explain how materiality at the account balance level may be a consideration that...
-
Martin & Co., a CPA firm, has adopted the following specific percentages for the indicated qualitative levels of risk: Minimum 30% Moderate 50% Maximum 100% Martin & Co. has also decided to use a 5...
-
This week, we learned about economic growth. This discussion will build on what we learned. First, list and summarize the four sources of productivity/economic growth. Next, find a news article from...
-
Splitting hairs, if you shine a beam of colored light to a friend above in a high tower, will the color of light your friend receives be the same color you send? Explain.
Study smarter with the SolutionInn App