Among 500 freshmen pursuing a business degree at a university, 336 are enrolled in an economics course, 250 are enrolled in a mathematics course, and 151 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in each of the following? (Enter your answers to three decimal places.) (a) an economics and/or a mathematics course (b) exactly one of these two courses (c) neither an economics course nor a mathematics course

Q: Suppose that in a group of 510 students at ISU, there are 67 business majors and 204 freshmen. There…

A: We have to find the solution.

Q: The Wall Street Journal regularly publishes an article entitled "The Count." In one article, The…

A: "Since you have posted a question with multiple subparts we will provide solutions only to the first…

Q: Find a 90% confidence interval for the population mean, if the sample size is 58, the sample mean is…

A:

Q: There are 5 people from Arizona (A), 7 people from California (C), and 3 people from Nevada (N)…

A: Here,the total number of participants are 5+7+3=15.The number of ways in which three different…

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: It is given that, Number of students who studied Mathematics =54 Number of student who Studied…

Q: In a college of 1600 students, each student takes 5 courses that meet three times per week, and…

A: Given, total students (n) = 1600, total courses (c) =5 and total classes (C) = 3 per week Total…

Q: To make a 750 piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the…

A: Probability of an event is defined as total favorable outcome divided by total possible outcome.…

Q: Among 500 freshmen pursuing a business degree at a university, 319 are enrolled in an economics…

A: (a)   Obtain the probability that a freshman selected at random from this group is enrolled in an…

Q: A newspaper vendor notes that his profit for the day is more than $100 with a probability of 0.7 on…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: At a certain university in Western Canada, 44% of all 1st-year students are registered in an…

A:

Q: Among 500 freshmen pursuing a business degree at a university, 349 are enrolled in an economics…

A: Sol:- We can use a Venn diagram to solve this problem. Let E be the event that a student is enrolled…

Q: The registrar reported that among 600 students, 517 registered for either a science or a language…

A: According to bartleby guidelines, we have to answer the first three parts if a question with…

Q: Suppose that 70% of the people coming out of a particular exit of 1000th Street Station are…

A: Suppose that 70% of the people coming out of a particular exit of 1000th Street Station are…

Q: In a high school graduating class of 100 students, 55 studied mathematics, 63 studied computer…

A: The total number of students is 100. The number of students studied mathematics is 55. The number of…

Q: In a certain class of 40 students, 8 students have a dog, 14 students have a cat, and 1 students…

A: General formula of probability is ,  Probability = Number of favorable outcomes Total outcomes

Q: Among 500 freshmen pursuing a business degree at a university, 338 are enrolled in an economics…

A:

Q: a box contains five red balls, six green balls, and two white balls. Three white balls are drawn,…

A: Probability is a branch of mathematics that deals with quantifying uncertainty and measuring the…

Q: There are a total of 22 people in an application pool, that are equally qualified for a job. The…

A: It is given that 22 people applied for 3 job openings. Where, People States 10…

Q: Among 500 freshmen pursuing a business degree at a university, 307 are enrolled in an economics…

A: Let us denote E=Economics degree, M=Mathematics degree Given, n(E)=307 , n(M)=201 ,  Using this…

Q: Every student in an international school takes at least one of three foreign language classes.…

A: Given Information: 29 students take French. 40 students take German. 31 students take Chinese. 18…

Q: From a box containing five black balls and three green balls, three balls are drawn in succession,…

A: Given: Black Balls = 5 Green Balls =3

Q: Among the first 50 stocks listed in the New York Stock Exchange transactions on a certain day (as…

A: Total stocks listed in the New York Stock Exchange transactions on a certain day, n=52 Number of…

Q: A hat contains 29 Orange slips of paper and 63 Green slips of paper (and nothing else). Two slips…

A: It is given that a hat contains 29 orange slips of paper and 63 green slips of paper. The total…

Q: A girl has five die, two of which are four-faced, one is eight-faced and two are six-faced, all…

A: two are four faced so number of faces is 8 of which there are two 3s one is eight faced so number of…

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.