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The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. what is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.04 0.5160 0.21 0.5832 0.37 0.6443 0.38 0.6481 0.39 0.6517 1.00 0.8413 2% 17% 58% 65%

Sagot :

Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.

The z-score is given as

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be

For x = 0.37, then we have

[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]

For x = 0.39, then we have

[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]

Then the probability will be

[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

natehernandez564

Answer:

B. 17%

Step-by-step explanation:

Got it from a quizlet with very many five star reviews

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