Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Shaded area is 0.8599.

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1 and it is given by the probability density function and distribution function

. Areas of the normal distribution are often represented by tables of the standard normal distribution.

Shaded area is 0.8599 according to the attachment. Then the lookup area is

Find the indicated z score.

[tex]Z = \frac{ (X - \mu)}{\sigma}[/tex]

where Z is the value on the standard normal distribution, X is the value on the original distribution, μ is the mean of the original distribution, and σ is the standard deviation of the original distribution.

According to the picture below z is

[tex]Z = \frac{ (0.8599 - 0.5)}{1} = 0.3599[/tex]

Then if we look at the table, the z score is -(1.0 + 0.08) = -1.08 (C)

The normal distribution is the most important probability distribution in statistics because it fits many natural phenomena. It learns about heights, blood pressure, measurement error, and IQ scores. The normal distribution is also known as the Gaussian distribution and the bell curve.

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joaobezerra joaobezerra · Answer 2 · 2021-10-26T16:08:19+02:00

Using the normal distribution, it is found that the indicated z-score is Z = 1.08.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, we want Z with a p-value of 0.8599, thus Z = 1.08.

A similar problem is given at https://brainly.com/question/16040323