Respuesta :

For some value of z, the value of the cumulative standardized normal distribution is 0.8340. the value of z is

Answer: We are required to find the value of z corresponding to probability 0.8340.

i.e., [tex]P(Z<z)=0.8340[/tex]

We can find the value of z using the standard normal table.

Using the standard normal table, we have:

[tex]z(0.8340)=0.97[/tex]

Therefore, for the value of z = 0.97, cumulative standardized normal distribution is 0.8340

Attached here standard normal table for your reference.



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The value of the cumulative standardized normal distribution is 0.8340. the value of z is 0.97.

Given:

The cumulative standardized normal distribution is 0.834.

What is a standard normal distribution?

The normal distribution that has to mean zero and variance one is called a standard normal distribution,

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

The z-value is obtained by the following formula;

[tex]\rm z-value=\dfrac{X-\mu}{\sigma}[/tex]

The normal distribution is symmetric.

  • The standard normal distribution is a bell-shaped curve and it is also an asymmetric curve.

  • The cumulative standardized normal distribution is  0.8340. it is the area under the curve.

  • The probability of a number less than the z value is 0.8340.

  • From the z table, the approximate value of the z is 0.97.

Learn more about normal distribution;

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