Midterm Final 78 86 97 94 86 83 89 92 77 88 7 68 75 68 84 68 79 10 93 95 11 89 61 12 71 62 13 90 98 14 80 68 15 81 96 16 93 96 17 93 83 18 72 82 19 95 100 20 91 52 21 89 100 22 75 80 23 86 91 24 97 86 25 63 36 26 99 100 27 67 51 28 88 98 29 97 97 30 85 98 31 40 43 32 72 88 33 47 91
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.
The accompanying data file shows the midterm and final scores for 32 students in a statistics course.
a. Estimate a student’s final score as a
b. Find the standard error of the estimate.
c. Interpret the coefficient of determination.
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