At a certain gas station, 40% of the customers use regular unleaded gas, 35% use extra unleaded gas, and 25% use premium unleaded gas. Of those customers using regular gas, only 30% fill their tanks. Of those customers using extra gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. What is the probability that the next customer will request extra unleaded gas and fill the tank? What is the probability that the next customer fills the tank? If the next customer fills the tank, what is the probability that regular gas is requested? Extra gas?  Premium gas?

Q: In a manufacturing plant, three machines, A, B, and C, produce 41%, 38%, and 21%, respectively, of…

A: Given , P( A ) = 0.41 ,  P( defective | A ) = 0.01 P( B ) = 0.38 ,  P( defective | B ) = 0.02 P( C )…

Q: An insurance company issues policies of two types - 20% are of type A and the remainder are of type…

A: Probability is calculated by the total number of possible observation involve in the event divided…

Q: Here is a table showing joint probabilities of survival on the Titanic (a British ship that sank in…

A:

Q: In an NBA championship series, the team that wins four games out of seven wins. Assume that team A…

A: Given that, In an NBA championship series, the team that wins four games out of seven wins. Assume…

Q: A car manufacturer keeps a database of all the cars that are available for sale at all the…

A: We have to find given probability.

Q: A company that manufactures and sells consumer video cameras sells two versions of their popular…

A:

Q: The marketing department of a magazine collects the following information for a group of randomly…

A:

Q: if a relay is selected at random from the output of the company, what is the probability that it is…

A: Let us define some events A : a relay is from plant 1. B : a relay is from plant 2. C : a relay is…

Q: In a particular child clinic, 17% of patients are prescribed colic drops. Overall, 7% of the…

A: Concept of conditional probability: For any two events A and B with P(B) >0, the formula for…

Q: A corporation was concerned with the basic educational skills of its workers and decided to offer a…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A CD-manufacturer claims that 95% of its CD's are defect-free. A retailer receives a shipment of 500…

A: Given that 95% of its CD's are defect-free. A retailer receives a shipment of 500 CD's and will…

Q: Assume that the car lot contains 30 percent Porches, 30 percent Volvos, and 40 percent Lincoln’s. Of…

A: Let P, V and L denote car P, car V and car L respectively in the lot of cars. Then, the probability…

Q: four sections of economics are taught during the day and two sections are taught at night. 90…

A: Let E1 denote denote the sections taught during day  and E2 denote the sections taught at night.…

Q: A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. The…

A: Given data:     The numbers of juniors in the class are: n(J)=10. The numbers of seniors in the…

Q: In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept…

A: #  Let us assume,     M=Master credit card.     V=Visa credit card.     PM∩V=37%=0.37…

Q: Given that a person bought a hybrid vehicle, what is the probability that it was a truck?

A: Let us define some events A : a person buys a hybrid vehicle. B : a person buys a truck. Given that…

Q: Referring to the important health practices advocated by the California study, suppose  that in a…

A: Probability

Q: A financial advisor frequently holds investment counseling workshops for persons who have responded…

A:

Q: In a certain city, 5% of all drivers have expired licenses and 10% have an unpaid parking ticket. If…

A: Ans-  Given, In a certain city, 5% of all drivers have expired licenses (event E)and 10% have an…

Q: In a drug study of a group of 500 patients, 150 patients responded positively to drug #1, 200…

A:

Q: A CLASS IN ADVANCED PHYSICS IS COMPRISED OF 10 JUNIORS, 30 SENIORS AND 10 GRADUATE STUDENTS. THE…

A:

Q: A small independent physicians' practice has three doctors. Dr. Sarabia sees 41% of the patients,…

A: To find: a.what is the probability that the patient saw Dr. Sarabia? b.For what percentage of all…

Q: In a certain residential suburb, 60% of all households get internet service from the local cable…

A: Here the given information,Let A: households get- internet service from the local cable company.…

Q: Seven of the 15 campus police officers available for assignment to the auditorium in which a local…

A:

Q: In a business statistics class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys…

A:

Q: An insurance company estimated that 30% of all automobile accidents were partly caused by weather…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Twenty-five percent of all telephones of a certain type are submitted for service while under…

A:

Q: At a local coffee shop, the manager has determined that 56% of drink orders are for specialty…

A: Solution

Q: A shipment contains 20 computer chips, of which two are defective. If a person selects 10 chips at…

A:

Q: Twenty-two percent of all telephones of a certain type are submitted for service while under…

A: P(Replaced|submitted) = 0.40 P(submitted) = 0.22 P=p(replaced) =P(Replaced}submitted)P(submitted)…

Q: In an NBA championship series, the team that wins four games out of seven wins. Assume that team A…

A:

Q: The members of a consulting firm rent cars from three rental agencies: 20% from Agency A, 50% from…

A: Probability is the chance of occurrence of an event.

Q: We can suppose that 55% of all adults regularly consume coffee, 45% regularly consume soda, and 70%…

A:

Q: What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City…

A: Let us define some events A : unit of insulin comes from the plant in Kansas City B : unit of…

Q: Sports science researchers determined that, for those people who skateboard, 22% have never had an…

A: Consider that the random variable x defines the number of injuries for the people who skateboard.

Q: Are gender and level of education of employees in this corporation statistically independent? e.…

A: Here use tree diagram

Q: A survey of high schools within a district revealed that for ninth graders, 38% offer no honors…

A: The probability that the high school offers no honors classes is P(0)=0.38. The probability that the…

Q: The industry standards suggest that 10% of new vehicles require warranty service within the first…

A:

Q: A survey of top executives revealed that 31% of them regularly read Time magazine, 19% read…

A: Givenpercent of executives read Time magazine=31%P(Time magazine)=0.31Perccent of executives read…

Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled in…

A:

Q: In a large corporation, 80% of the employees are men and 20% are women. The highest levels of…

A: Probability is a branch of mathematics or statistics which basically deals with the chances or…

Q: An insurance company issues policies of two types - 20% are of type A and the remainder are of type…

A:

Q: Three companies A, B and C supply 25%, 35% and 40% of the notebooks to a school. Past experience…

A: Let "D" represent the notebooks produced by these companies are not of good quality. A represents…

Q: In a manufacturing plant, three machines, A, B, and C, produce 38%, 33%, and 29%, respectively, of…

A: Machine A, B, C produces 38%, 33%, and 29%. P(A) = 0.38 %, P (B) = 0.40 and P(C) = 0.29% D denote…

Q: At a gas station, 40% of the customers use regular gas (A1), 35% use midgrade gas (A2), and 25% use…

A: Given Information: PA1=40%=0.40PA2=0.35PA3=0.25 PB|A1=30%=0.30PB|A2=0.60PB|A3=0.50 Then based on the…

Q: If a person does contract the disease, what is the probability that the person is of genotype AA?

A: Let us define some events A : the person is of genotype AA. B : the person is of genotype Aa. C :…

Q: 4/ A public health researcher examines the medical records of a group of 837 men who died in 1998…

A: We first make a table using the given data   died from heart disease did not die from heart…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.