(a) Probability that a consumer recycles beverage bottles. (Round your answer to 2 decimal places.)   P(Recycles)               (b) Probability that a consumer who lives in a state with a deposit law does not recycle. (Round your answer to 2 decimal places.)   P(Don’t Recycle | Lives in Deposit Law State)               (c) Percentage of consumers who recycle and live in a state with a deposit law. (Round your answer to 1 decimal place.)

Q: A six sided dice is rolled 120 times. Fill in the expected frequency column.

A: A six sided die is rolled 120 times. That is n=120. The probability of each face is 1/6. That is…

Q: At a particular college 12 percent of the students major in Business. All Business majors are…

A: 12% of the students major in Business. All Business majors are required to take a Statistics Course.…

Q: . Approximate the probability of fewer than 350 errors in a month. 2. Approximate a value so that…

A: Phoenix water is provided to approximately 1.4 million people who are served through more than…

Q: A couple is planning to have six children. If the true probability of a baby girl being born is…

A: According to the provided information, p=0.541 n=6

Q: A bag contains 5 blue marbles, 3 red marbles and 4 white marbles. One marble is drawn at random and,…

A: Total = 5 + 3 + 4 = 12

Q: (c) Percentage of consumers who recycle and live in a state with a deposit law. (Round your answer…

A: (a) The probability that a consumer recycles beverage bottles is calculated as: 3541000=0.354 Hence,…

Q: a. Find the probability that a randomly selected student is a Math major or a Business Major. b.…

A: Total number of students who are in math major is 35 (3+26+6) Total number of students who are in…

Q: In the game of roulette, a steel ball is rolled onto a wheel that contains 18 red, 18 black, and 2…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

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.