An insurance company classifies its policy holders according to age, sex, and marital status. Of 500 policy holders, it was found out that: 350 were married, 240 were under 25, 230 were married men, 110 were married and under 25, 100 were men under 25, 40 were married men under 25, and 10 were single women 25 or older. How many policy holders were men?

Q: A survey of recent college graduates yielded the following information: 70 graduates earned a degree…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: In a recent survey, consumers were asked where they did their online shopping. The following results…

A: Let A be the set of customers who shopped from the Amazon, B be the set of customers shopped from…

Q: The following data were optained from a survey of 120 people: 90 owned a car, 40 owned a home, 35…

A: Notations used to solve this example are : n : number of peoples in survey . n(A): number of peoples…

Q: Rachael owns all thirteen books in the A Series of Unfortunate Events series. In how many different…

A: Given data, Rachael owns all thirteen books n=13  In how many different orders can she place all of…

Q: If Reina places in the 90th percentile on an exam, then the meaning of this statement is:  a. Her…

A: From the provided information, Reina places in the 90th percentile on an exam.

Q: A= {1.6, 2.4, 1.8, 2.3, 1.9, 1.6, 2.0, 3.1, 3.8, 4.1, 4.0, 4.5, 3.2, 4.8, 3.6, 4.6, 3.8, 3.2, 4.0,…

A: Step 1:n Step 2: Step 3: Step 4:

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: Joe's electric company made 17 customer calls last week and 23 calls this week. How many calls must…

A:

Q: In a survey of 380 households regarding the ownership of HD TVs and non-HD TVs, the following data…

A: Let us denote:H=event of having one or more HD TVsN=event of having one or more non-HD TVsGiven that…

Q: A group of 20 dancers (10 boys and 10 girls) were asked about their ages. If their ages are grouped…

A:

Q: How many six-person volleyball teams be made from a group of ten men and three women if: a.There is…

A:

Q: Of 75 cars that were inspected, 13 needed brake repairs and 26 needed exhaust system repairs. If the…

A: Here given, needed 75 cars that were inspected brake repairs and 26 needed 13 exhaust system…

Q: Do you think that the government should bail out the automobile industry? Suppose that this question…

A: Suppose a categorical variable with k possible categories measured on n sample units. Let the…

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: From a survey of 120 people, the following data were obtained: 90 owned a car 40 owned a home 35…

A: Out of 120 people,U=120Number of people who have own car their is :

Q: An electronics store receives a shipment of 30graphing​ calculators, including 6 that are defective.…

A: Total graphing​ electronics calculators receives the store at shipment (n) = 30 Number of defective…

Q: A survey of 70 college students showed the following data: 42 had a car; 50 had a TV; 30 had a…

A: It is given that, in a  survey of 70 college students, 42 had a car; 50 had a TV; 30 had a bicycle;…

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: A survey of 800 nurses yielded the following information: 430 were health club members, 555 were…

A: Given data, Total number of nurses=800 in which Health club member nurses =430 Smokers nurses =555…

Q: Here are the number of legal immigrants (in thousands) who settled in each state east of the…

A: The objective of this question is to calculate the mean and median of the number of immigrants who…

Q: In research, it is not practical to include all members of a population. Is this true or false

A: Given statement: In research, it is not practical to include all members of a population.

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

A:

Q: Suppose the audience for the "Ellen Degeneres Show" was mainly LGBT people. Would this imply that…

A: Collective action as defined in sociology is considered as distinct modes of decision making…

Q: In a survey of 104 pet owners, 19 said they own a dog, and 52 said they own a cat. 15 said they own…

A: GivenTotal no.of pet owners=104No.of owners own a dog=19No.of owners own a cat=52No.of owners bot a…

Q: 6. The Nevada Gaming Commission gives 250 polygraph tests each month to potential casino employees.…

A:

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.