What is the significance of the mean of a probability distribution?

Mathematics

1 answer:

VikaD [51]4 years ago

4 0

Answer:

Significance of the mean of a probability distribution.

Step-by-step explanation:

The mean of a probability distribution is the arithmetic average value of a random variable having that distribution.

For a discrete probability distribution, the mean is given by, $\sum x_iP(x_i)$ , where P(x) is the probabiliy mass function.
For a continuous probability distribution, the mean s given by, $E(x) = \int x_if(x_i)$ , where f(x) is the probability density function.
Mean is a measure of central location of a random variable.
It is the weighted average of the values that X can take, with weights given by the probability density function.
The mean is known as expected value or expectation of X.
An important consequence of this is that the mean of any symmetric random variable (continuous or discrete) is always on the axis of symmetry of the distribution.
For a continuous random variable, the mean is always on the axis of symmetry of the probability density function.

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nalin [4]

Answer:

117 in²

Step-by-step explanation:

Here are the steps on how we will solve this problem.

Step 1: Divide the shape into squares and rectangles.
Step 2: Find the area of all squares and rectangles
Step 3: Sum up all the areas to get your final answer.

Now, let's follow the steps. Please consider looking at the picture I uploaded. Looking at the picture, we can tell that the area is 70 + 32 + 15. Now, let's solve.

70 + 32 + 15
=> 102 + 15
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Hence, the area of the shape is 117 in².

5 0

3 years ago

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snow_tiger [21]

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4 years ago

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vagabundo [1.1K]

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