All categories

2 years ago

The value of the cumulative standardized normal distribution at z is 0.8770. what is the value of z?

Mathematics

2 answers:

olga_2 [115]2 years ago

6 0

The value of $z$ is $\boxed{1.17}$ for the value of the cumulative standardized normal distribution at $z$ is $0.8770$ .

Further explanation:

Given:

The cumulative standardized normal distribution is $0.8770$ .

Concept used:

The normal distribution that has mean zero and variance one is called as standard normal distribution.

The random variable X follows standard normal distribution with mean zero and variance one.

\boxed{X \sim N\left( {0,1} \right)}

Then the value of $z$ can be obtained as,

$\boxed{Z = \frac{{X - \mu }}{\sigma }}$

Calculation:

The normal distribution is symmetric.

The standard normal distribution is bell shaped curve and it also a symmetric curve.

The cumulative standardized normal distribution is $0.8770$ it is area under the curve.

The probability of a number less than $z$ value is $0.8770$ .

From the $z$ table the approximate value of the $z$ is $\boxed{1.17}$ .

Kindly refer to the image attached.

Learn more:

1. Learn more about normal distribution brainly.com/question/12698949

2. Learn more about standard normal distribution brainly.com/question/13006989

3. Learn more about confidence interval of mean brainly.com/question/12986589

Answer details:

Grade: College

Subject: Statistics

Chapter: Normal distribution

Keywords: Z-score, Z-value, standard normal distribution, standard deviation, criminologist, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, undesirable behavior, proportion, empirical rule., cumulative standardized normal distribution.

Vinvika [58]2 years ago

4 0

The value of z is 0.8770. This answer was derived from information in the question, which states that the value of z is 0.8770. Granted, I don't understand what is meant by "cumulative standardized normal distribution." I only passed statistics because the professor felt sorry for me.

You might be interested in

Point Q' is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q'?

ra1l [238]

Answer:

A. (9,-5)

Step-by-step explanation:

Translation down is -2 to the y coordinate, which is (5,-5). Then you translate it right 4 units, which is +4 to the x coordinate, so the final coordinate is (9,-5).

5 0

2 years ago

Find x in the following 45°-45°-90° right triangle. Geometry!!! pls help

laila [671]

Answer:

Step-by-step explanation:

3 0

1 year ago

Find the percent B) 0.20% of 3,542

baherus [9]

The answer to the variable b is 708.4

3 0

2 years ago

Read 2 more answers

What is the square root of -2i?

Studentka2010 [4]

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of $z=0-2i$ . First, convert from Cartesian to polar form:

$r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2$

$\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}$

$z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})$

Next, use the formula $\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr]$ where $\displaystyle k=0,1,2,...\:,n-1$ to find the square roots:

When k=1

$\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr]$

$\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr]$

$\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)$

$\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i$

When k=0

$\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr]$

$\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)$

$\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i$

Thus, the square roots of -2i are 1-i and -1+i

4 0

1 year ago

PLEASE SOMEONE HELP ASAP!!!!!!!!!!!

Volgvan

The second and fourth one are rational. They are perfect squares and are terminating or are fractions

4 0

2 years ago

The value of the cumulative standardized normal distribution at z is 0.8770. what is the value of​ z?

The value of the cumulative standardized normal distribution at z is 0.8770. what is the value of z?