2. An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 240 brakes using Compound 1 yields an average brake life of 42,783 miles. A sample of 230 brakes using Compound 2 yields an average brake life of 40,727 miles. Assume that the population standard deviation for Compound 1 is 1639 miles, while the population standard deviation for Compound 2 is 4130 miles. Determine the 80% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. n, 240 X= 42,783 e : 1639 nz= 230 X2= 40,727 2: 4130 C 80 Step 1. Find the critical value that should be used in constructing the confidence interval. Answer: 42,783-40,727 I6394130
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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