In a class of 72 students, 40 are girls and, of these, 18 are going to college. Of the 32 boys in the class, 9 are going to college. A student is selected at random from the class. What is the probability that the person chosen is the following? (a) going to college P(college) = %3D (b) not going to college P(not college) = %3D (c) a girl who is not going to college P(girl, not college) = %3D

Q: Mrs. Maria's Market buys 77% of eggs from farm A and the rest from farm B. Of the eggs from A, 7%…

A:

Q: During a resort’s busy season, there is a 0.6 probability that a hurricane will affect sales…

A: Given , Number of months (n) = 3 Probability of a hurricane affecting sales negatively (p) = 0.6 Let…

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: Suppose that 84% of students in a college have a smart phone. If you select three students at…

A: sample size(n)=3 p=0.84 Let "x" be no.of students have a smart phone x~Binomial(n=3,p=0.84)…

Q: During a resort’s busy season, there is a 0.8 probability that a hurricane will affect sales…

A: Given: Number of months (n) = 3 Probability of a hurricane affecting sales negatively (p) = 0.8 X be…

Q: A group of people were asked if they had run a red light in the last year. 423 responded "yes", and…

A: Step 1: Identify the given valuesnumber that ran a right light = number that said "yes" = 423number…

Q: n average cleo catches a fish on 45% of the times that he casts his fishing line. If he casts his…

A: Given data, Proportion of cleo catches a fish is p=45% =0.45 n=15 what is the probability that he…

Q: In a city 20% of the cars are electric, 16% of the cars are red, and 13% of the cars are red…

A: From the given information, The probability of cars are electric is, 0.20 The probability of cars…

Q: A customer visits a shopkeeper. The shopkeeper knows that 1 in 10 customers have coronavirus. One…

A: It is given that 1 in 10 customers have coronavirus and 1 in 23 customers have flu. 71% of customers…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 63% of all…

A: Solution-: Given: n=5,p=0.63 (Or 63%) Our aim to find, (a) P(X=2)=? (b) P(X≤3)=?

Q: At a local​ company, 15​% of the employees are women. Every​ day, 7​% of the women bring their lunch…

A:

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given information- Sample size, n = 510 The proportion of eligible voters = 0.54 Now, from Binomial…

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

A:

Q: In a large school, it was found that 71% of students are taking a math class, 73% of student are…

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: In a school, 70% of males play soccer, and 12% of females play soccer. The school consists of 55%…

A: Conditional probability:  Let A and B be two events related to a random experiment. Then the…

Q: A class of 25 students is taking a course in Western Civilization on a​ pass/fail basis. The course…

A: Define the random variable x as the number of students that will pass the course. Here, the number…

Q: Assume that 65 percent of the students at the university have taken 4 years of high school math. Of…

A:

Q: Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays…

A: Each person can win if: A wins BB wins CC wins A That is, A beats BB beats CA does not beat C

Q: A group of people were asked if they had run a red light in the last year. 326 responded "yes", and…

A: Given, a group of people were asked if they had run a red light in the last year, 326 responded…

Q: In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What…

A: A = families own a dog B= families own a cat  P(A)=36%=0.36 P(B)=30%=0.30

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…

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.