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.
#5 Please
![1. Graph the function h(x) = (x + 1)2 + 2. Plot the point (1, 2) on your graph.
2. Fill in the chart for each of the following: Let x = 1
Ax
2
1.5
1
.5
-.5
x+Ax
F(x+Ax)
3. Using different colors draw secant lines from (1,2) to each of the points
(х+Дх, F(x+Дх)).
4. Calculate the difference quotient for each of these secant lines. Insert the calculated values
in the last row of the chart in #2.
F(x + Ax) – F(x)
((х + Дх) — х)
5. What appears to be the limit as Ax->0?
6. As Ax->0, the graph becomes a tangent line and not a secant line. What is the difference
between these two types of lines?
7. Now use the general form for the difference quotient with our function
f(x)
x2 – 2x + 3 to simplify the formula:
f(x + Дх) — f(x)
f'(x) = lim
Дх--0
Дх
8. What do you notice about the original f(x) and f'(x)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4944484d-7482-4f84-b820-767b908dc811%2Fa7f55816-934f-4c7c-8926-e64129b77f16%2Fws7gqhm_processed.png&w=3840&q=75)
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