ou are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it usingZ1, Z2,..., Z1500? (c) What is the chance that your randomly drawn sample is such that your sample statistic from (a)is lower than 0.015? (d) The factory passes the quality control assessment if the sample of 1500 allows you to construct an asymmetric 95% confidence interval that does not contain 0.02. Say your sample of 1500 displays contains 24 defective displays. Does the factory pass?
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.
You are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays.
(a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it usingZ1, Z2,..., Z1500?
(c) What is the chance that your randomly drawn sample is such that your sample statistic from (a)is lower than 0.015?
(d) The factory passes the quality control assessment if the sample of 1500 allows you to construct an asymmetric 95% confidence interval that does not contain 0.02. Say your sample of 1500 displays contains 24 defective displays. Does the factory pass?
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