An insurance company divides its customers into three classes: with low risk, medium risk and high risk. For each group, the probability that a person has at least one accident within a year is, respectively, 0.05, 0.15 and 0.25. It is estimated that 50% of the population is in low risk group, 35% in medium risk group, and 15% in the high risk group. One person is selected at random. What is the probability that this person will have at least one accident within a year? A. 0.215 B. 0.115 C. 0.45 D. 0.095 E. none of the above

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: It has been estimated that 21% of Americans are smokers. If five American adults are chosen at…

A: From the provided information, It has been estimated that 21% of Americans are smokers that is p =…

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A: From the given information p = 0.20 and n = 15.

Q: In one study, researchers at a clinic looked at more than 120,000 patients enrolled in 14…

A: Given Information:  Researchers at a clinic looked at more than 120,000 patients enrolled in 14…

Q: Approximately 9% of people are left-handed. If two people are selected at random, what is the…

A:

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: The distribution of blood types for a certain population is 35% type A , 10% type B, 50% type O and…

A: We want to find probability by using multinomial.

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: In a certain town 90% of the people believe in global warming; 10% of the people do not. What is the…

A: The probability mass function of binomial distribution is given below:

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of…

A: Given information:Population proportion (p) = 20%                                         p =…

Q: Suppose that 70% of a town’s population have brown eyes, 40% have black hair, and 30% have both…

A: We have given  that population have brown eyes = 70% =0.70 population have black hair = 40% = 0.40…

Q: A restaurant owner wants to determine the probability of running out of ingredients for their most…

A:

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: If the probability of a student taking a strength training gym class is 0.90, the probability of…

A: Given, The probability of a student taking a strength training gym class(P(A))=0.90 The probability…

Q: Assume that 30 percent of students have taken calculus in high school. Of those who have taken…

A: Let define the events: C = students taken calculus in high school C=students do not taken calculus…

Q: Suppose you manage the demand for a towing company in Little Rock. On a usual day your company gets…

A:

Q: In a survey of 96 baseball fans in NYC, 46 were fans of the Mets, 63 were fans of the Yankees and 30…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: The managers of a corporation were surveyed to determine the background that leads to a successful…

A:

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A:

Q: Color blindness has a rate of about 5% among males.  If you pick a group of 15 males, what is the…

A:

Q: Researchers suggest that 9.5% of females in Scotland have red hair. Approximately 10% of Scottish…

A: Conditional probability formula : P(A | B) = P(A n B) /P(B)

Q: According to Wealth committee data, 0.4% of people have anemia. One thousand people are randomly…

A: Given that  p=0.4%=0.004 , n=1000

Q: Suppose the probability of a IRS audit is 2.1% for U.S. taxpayers who file form 1040 and who earned…

A:

Q: In a particular city, 63% of the adults own their home and 37% rent. A sample of 20 adults is taken.…

A: Given,probability of adults own their home(p)=63%=0.63probability of adults on…

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: In a group of 10 people chosen randomly, what is the probability that three of the ten people have a…

A: Given: Number of trials (n) = 10 Probability of success (p) = 11000000=0.000001 Let X be the number…

Q: Records show that 65% of employees at a high-level research facility have a doctorate degree. If 14…

A: Given data Record shows that 65% of employees at high level research have a doctorate degree. 14…

Q: Police records show that for a certain area in Arendale, when the driver of a car double parks, 60%…

A: Let X be the number of not allowed towed away  Let p be the probability of towed away=0.6  q be the…

Q: n 2000, 86% of all Caucasians in the United States, 77% of all African-Americans, 77% of all…

A: It was stated that in 2000, 86% of all Caucasians in the United States, 77% of all…

Q: A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When…

A: It is given that the set of traffic lights shows green light for 45 seconds, amber light for 5…

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: Given that n=100 p= 0.53 q= n-p=0.47 μx= n*p= 53 Standard deviation= σ= sqrt(n*p*q)=4.991   Add…

Q: Consider a group of study subjects with 12 males and 8 females. If we randomly select two different…

A:

Q: In average the number of people entering the intensive care unit at the particular hospital on any…

A: Step 1: Identify the formula to be usedWe will use Poisson distribution in this case since there is…

Q: We are interested in analyzing data related to college football. Use S to denote the team is in the…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.