For her final project, Stacy plans on surveying a randomsample of 50 students on whether they plan to leavetown for Spring Break. Based on past years, she guessesthat about 85% of the students will go somewhere. Isit appropriate for her to use a Normal model for thesampling distribution of the sample proportion?A) Yes, because np = 42.5, which is greater than 10.B) Yes, because a Normal model always applies tosample proportions.C) No, because a Normal model is not appropriate for abinomial situation.D) No, because nq = 7.5, which is less than 10.E) We don’t know, because we don’t know the shape ofthe population distribution.
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.
For her final project, Stacy plans on surveying a random
sample of 50 students on whether they plan to leave
town for Spring Break. Based on past years, she guesses
that about 85% of the students will go somewhere. Is
it appropriate for her to use a Normal model for the
sampling distribution of the sample proportion?A) Yes, because np = 42.5, which is greater than 10.
B) Yes, because a Normal model always applies to
sample proportions.
C) No, because a Normal model is not appropriate for a
binomial situation.
D) No, because nq = 7.5, which is less than 10.
E) We don’t know, because we don’t know the shape of
the population distribution.
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