How was

Mathematics

1 answer:

JulijaS [17]2 years ago

4 0

Answer:

reflect

Step-by-step explanation:

dilate means bigger or smaller than the original.

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Vlad [161]

Answer:

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Step-by-step explanation:

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3 years ago

The number of cars running a red light in a day, at a given intersection, possesses a distribution with a mean of 2.4 cars and a

liberstina [14]

Answer:

The sampling distribution of the sample mean is:

$\bar X\sim N(\mu_{\bar x}=2.4,\ \sigma_{\bar x}=0.40)$

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

Let X = number of cars running a red light in a day, at a given intersection.

The information provided is:

$E(X)=\mu=2.4\\SD(X)=\sigma=4\\n=100$

The sample selected is quite large, i.e. n = 100 > 30.

The Central limit theorem can be used to approximate the sampling distribution of the sample mean number of cars running a red light in a day, by the Normal distribution.

The mean of the sampling distribution of the sample mean is:

$\mu_{\bar x}=\mu=2.4$