Please help, timed! Will mark brainliest!!

Let x and s present the sample mean and sample standard deviation, respectively. Is it possible that around 70% of data lie with

tensa zangetsu [6.8K]

Using the Chebyshev's Theorem and the Empirical Rule, it is found that it is not possible that around 70% of data lie within x-2s and x+2s.

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Distributions are classified as symmetric or not symmetric.
If the distribution is not symmetric, Chebyshev's Theorem is used, which states that at least 75% of the measures are within 2 standard deviations of the mean.
If the distribution is symmetric, the Empirical Rule is used, which states that around 95% of the measures are within 2 standard deviations of the mean.

Thus, from the above bullet points, at least 75% of the measures are within x-2s and x+2s, which means that the percentage of 70% is too small.

A similar problem is given at brainly.com/question/23612895

8 0

3 years ago

A transmission is designed to last 16 years, with a standard deviation of 1.2 years. What is the probability that a transmission

stich3 [128]

Answer:

First option 5%

Step-by-step explanation:

Normal Distribution

Gauss Distribution is one of the most widely-used continuous probability distribution to characterize random events. The curve of the function is called the bell curve.

The standard Normal Distribution is a special case where the mean $\mu=0$ and the standard deviation $\sigma=1$ . The values of the cumulative normal distribution cannot be computed by simple calculations, we must use tables of digital implementations integrated with tools like Excel or any online resource.