Florrie’s Fashion Store and Mary’s market stall both sell a particular style of sweatshirt. They are the only outlets for the garment in the area, with Florrie’s accounting for 70% of the total number sold and Mary’s accounting for the remainder. Unfortunately colour dye that faded prematurely was used to manufacture the first batches of the product. The supplier estimates that 15% of the stock supplied to Florrie and 25% of the stock supplied to Mary have this problem. Use Bayes’ rule to find the probability that if a sweatshirt is defective it was sold by Mary.

Florrie’s Fashion Store and Mary’s market stall both sell a particular style of sweatshirt. They are the only outlets for the garment in the area, with Florrie’s accounting for 70% of the total number sold and Mary’s accounting for the remainder. Unfortunately colour dye that faded prematurely was used to manufacture the first batches of the product. The supplier estimates that 15% of the stock supplied to Florrie and 25% of the stock supplied to Mary have this problem. Use Bayes’ rule to find the probability that if a sweatshirt is defective it was sold by Mary.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A company makes parts that cost $35.00 in material and labor. 92% of the parts are produced defect free and are sold for full price at $110 each. 2% of the parts made must be scrapped. Scrap parts are sold for $8.00 each. The remaining 6% of the parts made must be reworked at a cost of $12.00 each. After rework 1% still must be scrapped and the other 5% is sold at a discounted price of $90 each. a. Draw the tree diagram showing the quality cost situation. b. Determine the earnings per part. c. Determine the cost of poor quality (COPQ). d. Determine the earnings per part and COPQ if the rework operation was shut down and the parts that required reworking were just sold for scrap instead. Answers- B-70.22 c-4.78 d-66.84, 8.16
3. Tamir has recently begun a new job of selling custom bracelets! Tamir's sales have been growing every week and now he is looking to analyze his profit. Specifically, Tamir is looking to find how much his cost of goods is for his business of selling bracelets. Luckily, Tamir sells each bracelet for the same price and has recorded that when he sold 4 bracelets he made a $39 profit, when he sold 9 bracelets he made a $94 profit. a. Write an equation in point slope form that could model this scenario. b. Which of the following could be the graph of Tamir's profit? Explain how you know. Graph 1: Graph 2: + +
Penn Hospital generated net patient revenues of $225 million for 20X1, and its cash collections were $210 million. The revenue cycle management costs to collect these revenues were $8 million. Calculate Penn's cost to collect for the year. What is Penn's cost to collect for the year if 35% of the cash collections during the year required human intervention and its EDI costs were $600,000
A grocery store is reevaluating the retail price of their oranges. They have a contract where they can purchase oranges for $0.52 per pound. However, this includes high quality oranges (about 40% of the time), low quality oranges (55%), and occasionally rotten fruit (5%). Suppose they sell 80% of all high quality oranges at $1.99 per pound, 65% of all low quality oranges at $1.49 per pound (they offer a sale), and they cannot sell any of the rotten fruit. What is the store's expected profit from a random shipment of 500 pounds of oranges? We do not consider personnel and other overhead costs, only the wholesale cost of the oranges. (Give your answer as a number, no dollar sign included.)
The Dorben Co. uses a standard hour plan with a base wage of $9/h. It hires an IE consultant to plan a batch production run of 300 units. This consultant has a worker on the line produce 2 units. The first takes 10 min and the second 9.7 min. Assuming that the worker continues to improve her performance, what will she be paid for the full batch of 300 units under the standard hour plan? What is the unit cost for the first unit made? What is the cost for 300th unit? there is already an answer for this question in chegg but it does not explain clearly in steps. I need some clear explanation thnks
The research department at a manufacturing company has developed a new process that it believes will result in an improved product. Management must decide whether to go ahead and market the new product. The new product may or may not be better than the old one. If the new product is better and the company decides to market it, sales should increase by $70,000. If it is not better and they replace the old product with the new product on the market, they will lose $25,000 to competitors. If they decide not to market the new product, they will lose a total of $60,000 if it is better and just research costs of $20,000 if it is not. Complete parts (a) and (b) below. (a) Prepare a payoff matrix. □ (Type an integer or decimal for each matrix element. Do not include the $ symbol in your answer.)
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger th average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1,000s) 22 Itemized Deductions ($1,000s) 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 120 19.7 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 • 10 5 Itemized Deductions ($1,000s) 0 20 40 60 80 100 120 Adjusted Gross Income ($1,000s) 140 30 25 20 15 10 5. Itemized Deductions ($1,000s) 30 25 20 15 10 • 15 • 10 5- 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100…
The River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…
An electronics retailer list the sales (in thousands) of certain products in three cities for the prior quarter. During that period tablets sold for $243, laptops sold for $763, cell phones sold for $158, and DVR sold for $661. City 1 City 2 City 3 Tablets 78 68 42 Laptop Computers 53 30 34 Cell Phones 54 67 61 Personal DVR 66 41 48 City 1's total sales : thousand dollars City 2's total sales : thousand dollars City 3's total sales : thousand dollars
A student received an A- in Engineering Math (3 credits), a B+ in introduction to PDT ( 3 credits), an B in Client server ( 3 credits), and a A in Technical writing ( 2 credits). Assuming that, A = 4 grade points, A- = 3.7 grade points, B+ = 3.3 grade points, B = 3 grade %3D %3D points, B- = 2.7 grade points, and C+ = 2.3 grade point, C = 2 %3D grade points and C- = 1.7 grade points. Find the student's grade point average (GPA)? [2 decimal place calculation] O a. 7.37 b. 3.37 О с. 3.73 d. None of the option is correct
An analyst in the real estate business is interested in the relationship between the cost of the monthly rent of an apartment and the size of an apartment, in big cities. She gathers data for apartment buildings in 12 cities in 12 different states. In each city, she gets the numbers for at least 5 different buildings and at least 40 apartments in each building. She reaches the following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a 1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental cost of a 2-bedroom apartment. Based on the paragraph, what is the minimum number of apartments she collected data on? Do you think her sample was large enough to be statistically valid? Based on the paragraph, are there any apartments or apartment buildings that she would have excluded from her study? Do you see any bias in how she selected apartments for her study? Based on the paragraph, is there a positive…
The County Theater is an independent entertainment theater that is in the middle of a new renovation to expand their current layout of two screens. With their current renovation plan, they hope to increase their screens to three. As of now, they are still in need of $14,000 to finish the construction project. Through market research completed on their members as well as the greater community, they estimated that each donator would give around $50. As the donations have been coming in over the course of the last 18 months, they believe that the research estimate may have been too high. They created a sample of members consisting of 40 individuals. On average, they are willing to give $40 and the standard deviation for the sample is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null hypothesis is not true, what real world circumstance may have affected the research estimate?