Instruction: Please help me to answer all the questions correctly. A manufacturer of equipment for boats is interested in producing a new type of marine radio with an emergency homing beacon. It is expensive to set up production, so the manufacturer wants to determine the level of interest in purchasing such a device before money is invested in this venture The company is located in the West Coast, which is it primary market. The company decides to randomly select 12 of the marinas on the West Coast and then demonstrate the prototype to all of the boat owners at these marinas and gauge the potential market for the device. What sampling method did the company use to gather its data? a. simple b. stratified c. cluster d. convenience

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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.