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faltersainse [42]
3 years ago
12

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

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:

See explanation below.

Step-by-step explanation:

If we have a continuous variable the expected value is defined as:

E(X) = \mu = \int_{a}^b x f(x) dx

Where a and b are the limits for the distribution and f(x) represent the density function.

If we have a discrete random variable X, the expected value is defined as:

E(X) = \sum_{i=1}^n x_i P(X_i)

The mean is the most common measure of central tendency in order to describe a probability distribution.

The expected value also represent the first central moment of the random variable defined as:

\mu_1= E[(X-E[X])^1] =\int_{-\infty}^{\infty} (x-\mu)^n f(x) dx

If we assum that X is a continuous random variable.

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The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?
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~kaikers
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3 years ago
One grain of this sand approximately weighs 6 x 10^-6g.
emmasim [6.3K]

Answer:

  • 1.2×10¹² grains

Step-by-step explanation:

1 grain = 6×10⁻⁶ g

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4 0
2 years ago
4. The sum of three consecutive odd integers is 36.
PilotLPTM [1.2K]

Answer:

11, 12, 13

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n, n + 1, n +2

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5 0
3 years ago
investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after
azamat

Answer:

$64,000

Step-by-step explanation:

Friday, 45 / 9 = 5

So the investment will double 5 times

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Second time

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Third time

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Fourth time

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Fifth and final time

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