In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random samples of 32 sophomores and 31 seniors from this high school are asked if they have a part-time job. Let Punder and Pupper be the sample proportions of sophomores and seniors, respectively, who have part-time jobs. Which of the following is the correct shape and justification of the sampling distribution of under-Pupper? O bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67 O approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 O not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 O not approximately Normal because the expected numbers of successes and failures for the sophomores group are not both at least 10
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.
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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.
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