An online clothing store carries three brands of jeans. 40% of their jean sales are brand A, 20% are brand B, and the remainder are brand C. 20% of brand A's jeans cost over $100, 40% of brand B's jeans cost over $100 and 90% of brand C's jeans cost over $100. Given that a pair of jeans is purchased for over $100, what is the probability that they are brand A? A. B. 0.133 0.08 C. 0.154 D. 0.148

An online clothing store carries three brands of jeans. 40% of their jean sales are brand A, 20% are brand B, and the remainder are brand C. 20% of brand A's jeans cost over $100, 40% of brand B's jeans cost over $100 and 90% of brand C's jeans cost over $100. Given that a pair of jeans is purchased for over $100, what is the probability that they are brand A? A. B. 0.133 0.08 C. 0.154 D. 0.148

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 regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $30,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,729, the chance of winning the gas card was 1 out of 31,729, and the chance of winning the shopping card was 31,727 out of 31,729. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available. 31729 fliers C b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? H=$5.95 (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities…
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
An arena manager tallies the number of snack items (hot dogs, nachos, and popcorn) sold at each of three concession stands in the arena. Snack Item Hot Dogs Nachos Popcorn Total Stand A 125 65 40 230 Concession Stand B 218 119 52 389 Stands Stand C 65 52 13 130 Total 408 236 105 749 What is the probability that a customer purchased popcorn, given that they purchased from stand B? 6.9% O 13.4% O 14.0% 49.5%
Jacob makes the following statement: "I have a 60% chance of being selected as the captain of the baseball team and a 20% chance of being elected student body president." What is the probability that Jacob will be selected as the captain of the baseball team and will be elected student body president? O 80% O 40% O 12% O 8%
We randomly select a batch of 40 computer disks for shipment. The probability of selecting a good disk is the same as the probability of selecting a defective disk. In part C, you will determine the probability that this shipment contains 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. Note: I am not asking for an example of an outcome, although I may ask for examples of outcomes on the exam. A. What is the size of your sample space S? i.e., How many different outcomes (batches of 40 disks) in your sample space? What are the conditions? What counting technique(s) are you using? B. How many outcomes when randomly selecting 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. What are the conditions? What counting technique(s) are you using? C What is the probability of randomly selecting a batch of 10 defective disks and 30 good disks or a batch of 15 defective disks and 25…
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.386, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.379, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
There are three areas of funding being reviewed: school, roads, and administrative. Each category can experience an increase, a decrease, or no change to the amount of funding it receives. Using a list, what is the probability of at least two areas with no change to funding, assuming all options have equal probability?
A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $24 000, a $75 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31 679, the chance of winning the gas card was 1 out of 31 679, and the chance of winning the shopping card was 31 677 out of 31 679. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? μ=? (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities listed on the flier, what is the standard…
A local radio station is staging a concert; it isn’t sure what music the band will play or how big the crowd will be. The table below shows the estimated profit from sales (in thousands of dollars) to the station depending on audience size and the type of music played (for example, if a “small” audience and classic rock, they will make $100K). What is the probability that the audience size is not moderate? Which type of music gives the station the greatest chance of making $250K or greater from the concert?
With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular population are respectively, 60%, 30%, and 10%. Furthermore, the percentages of these genotypes that contract a certain disease are respectively. 1%, 5% and 20%. If a person does contract the disease, what is the probability that the person is of genotype AA?
Alex, Natasha, and Juan fill orders in a fast-food restaurant. Alex incorrectly fills 20% of the orders he takes. Natasha incorrectly fills 12% of the orders she takes. Juan incorrectly fills 5% of the orders he takes. Alex fills 30% of all orders, Natasha fills 45% of all orders, and Juan fills 25% of all orders. An order has just been filled. A. If the order was filled by Juan, what is the probability that it was filled correctly? B. Who filled the order is unknown, but the order was filled incorrectly. What are the revised probabilities that Alex, Natasha, or Juan filled the order? C. Who filled the order is unknown, but the order was filled correctly. What are the revised probabilities that Alex, Natasha, or Juan filled the order?
A cell phone company collects the following data for a month on their customers:The company plans to build a cell phone tower at any one of the areas. It is based on the probability of a customer available in a particular area in the month.Which area will they choose to build the tower?