Question

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

Answer 1

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.

Answer 2

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.