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2 years ago

15

whether the distribution of the mean of a large number of independent, identically distributed variables. true or false

1 answer:

san4es73 [151]2 years ago

6 0

Answer:

The statement is false

Step-by-step explanation:

Given

See comment for complete statement

Required

Is the statement true or false

From central limit theorem, we understand that a distribution is approximately normal if the distribution takes a sample considered to be large enough from the population.

Also, the mean and the standard deviation are known.

However, the given statement implies that the distribution will be normal depending on an underlying distribution; this is false.

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3 years ago

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F(x)=square root of x^2+24x+144. g(x) = square root of x^3 -216

Triss [41]

Answer:

Step-by-step explanation:

x^2 + 24x + 144 is a perfect square: (x + 12)². The square root of this is

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2 years ago

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What is the slope of a horizontal line?<br><br> 0<br><br> undefined<br><br> 1<br><br> -1

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2 years ago

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The ____ of Powers property allows you to rewrite xa· xb as xa + b.

erica [24]

Answer:

The Product of Powers property allows you to rewrite $x^a\times x^b=x^{a+b}$ .

Step-by-step explanation:

We are given that,

The property allows us to write, $x^a\times x^b=x^{a+b}$

It is required to know the corresponding property.

As, we see that,

<em>The expression involves the product of terms having same base resulting in the addition of the powers.</em>

So, we have that,

The corresponding property is 'Product of Powers'.

Hence, the complete statement is,

The Product of Powers property allows you to rewrite $x^a\times x^b=x^{a+b}$ .

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3 years ago

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Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4

Nady [450]

Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Average rate of 6.4 per 30 minutes.

This means that $\mu = 6.4$

What is the probability that three or four customers will arrive during the next 30 minutes?

$P = P(X = 3) + P(X = 4)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726$

$P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162$

$P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888$

18.88% probability that three or four customers will arrive during the next 30 minutes

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3 years ago