Example 2.17 Of the voters in a city, 40% are Republicans and 60% are Democrats. Among the Republicans 70% are in favor of a bond issue, whereas 80% of the Democrats favor the issue. If a voter is selected at random in the city, what is the probability that he or she favor the bond issue?
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A: HERE USE TREE DIAGRAM FOR GIVEN INFORMATION
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- QUESTION9 A pizza restaurant offers 18 different toppings: 6 of them are vegetarian and 12 of them are non-vegetarian. Jon, a pizza connoisseur, calls to order large two-topping pizza with thin crust. Jon cannot decide which two toppings to select, so he randomly selects his first topping, and then he selects his second topping at random from the remaining toppings. What is the probability that both of his selections are non-vegetarian? Report your answer as a decimal rounded to three places. Do not round intermediate computations. 8more/On a university campus, 60%, 30%, and 10% of the computers use Windows, Apple, and Linux operating systems, respectively. A new virus affects 3% of the Windows, 2% of the Apple, and 1% of the Linux operating systems. What is the probability a computer on this campus has the virus? If a randomly chosen computer on this compass has the virus, what is the probability it is a Windows machine?In the county of Cornwall, 20% of homes are damaged by fire in a given year, 10% are damaged by flood in a given year, and 5% are damaged both by fire and flood in a given year. A home is selected at random. If the home is damaged by flood, what is the probability that it is damaged by fire? O a. 25% O b. 35% O c. 30% FOR
- 27. In a random sample of college students it is found that 39% own a car, 53% of them take the bus to school, and 26% of them both own a car but take the bus to school. What is the probability that a randomly selected student owns a car or takes the bus to school or both? 79% 66% 62% 65%In a three-coin experiment, what is the probability of gettinga. 1 head?b. 2 heads? c. 3 heads?At the Washington University 35%, 25% and 40% of the students in Calculus are taught by Prof. A, Prof. B and Prof. C, respectively. The respective probabilities of failing in Calculus for the three professors are 6%, 7% and 5%. A student in Calculus in the previous semester was randomly selected and was found out to have failed in the subject. Under which class most likely did he belong?
- 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?)Suppose two companies, Company A and Company B, produce all the widgets in Ottawa. Company A produces 70% of all the widgets in Ottawa. 20% of widgets produced by Company A are defective. 10% of widgets produced by Company B are defective. If a widget is chosen at random, what is the probability it is defective? Select one: a. 0.07 b. 0.17 c. 0.13 d. 0.03 e. 0.14Example 8 : A businessman goes to hotels X, Y, Z, 20%, 50%, 30% of the time respectively. It is known that 5%, 4%, 8% of the rooms in X, Y, Z hotels have faulty plumbings. 6. Tespectively. It is known that 5%, 4%. 8% of the rooms in X. Y.Zhotels have faulty plumbn What is the probability that business man's room having faulty plumbing is assigned to nor n1
- A shop keeper sells three models of televisions A, B and C.Sale of model A is 40% of which 3% are with stereo.Sale of model B is 40% of which 7% are with stereo.Sale of model C is 20% of which 9% are with stereo.What is the probability that a randomly sold television is with stereo?My car has a dead battery and I need some jumper cables. People stop to help me but I have to refuse their help if they have no jumper cables. Only 35% of the people driving on the road have jumper cables. What is the probability that the first person who can help me is the 5th person who stops? Select one: a. 14.79% b. 6.25% C. 9.61% d. 22.75%1