Three machines I, II and III manufacture 30%, 30% and 40%, respectively, of the total output of certain items. Of them, 4%, 3% and 2%, respectively, are defec- tive. One item is drawn at random, tested and found to be defective. What is the probability that the item was manufactured by each one of the machines I, II and III?
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- Determine whether the event described are independent or dependent. Then find the probability of the event Randomly drawing and immediately eating three red M&Ms in a row from a bag that contains 10 red M&Ms out of 30 M&Ms totalThree machines turn out all the products in a factory, with the first machine producing 35% of the products, the second machine 15%, and the third machine 50%. The first machine produces defective products 4% of the time, the second machine 1% of the time and the third machine 20% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)In a group of 80% female and 20% male; 3/4 of women and 1/2 of men do sports. What is the probability that someone selected from the group is a woman or a sports person?
- Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. Second Parent First Parent Ss sS P(child has sickle cell anemia) =| (Type an integer or a simplified fraction.)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?)Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of winning the bid on Project A, Project B, and Project C are 0.7, 0.5, and 0.2, respectively. Assume that the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will experience the following. (a) Win all three of the bids (b) Win exactly two of the bids (c) Win exactly one bid
- If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?A kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time respectively. The remote controls of the cars can sometimes malfunction, namely 5%, 7% and 9% of the time. If during a race the remote malfunctioned, what is the probability that he was playing with his first car? O A. 0.0125 OB. 0.1712 OC. 0.4932 OD. 0.3356Tyson Corp. stock has returns of 3%, 18%, -24%, and 28% for the past four years. Based on this information, what is the 99% probability range for any one given year? Select one: Oa 24.5 to 34.3% O b.-61.7 to 74.2% OC.-8.4 to 11.7% Od.-16.4 to 28.9% e. 39.0 to 51.5%
- Three machines turn out all the products in a factory, with the first machine producing 35% of the products, the second machine 25%, and the third machine 40%. The first machine produces defective products 19% of the time, the second machine 11% of the time and the third machine 3% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)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?The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?