The value of the cumulative standardized normal distribution at Z is 0.8925. Calculate the value of...

The value of the cumulative standardized normal distribution at Z is 0.8925. Calculate the value of Z.

Expert Solution

milcah answered 2 years ago

for a standardized normal distribution, calculate the probabilities below. (standard normal disturbution table of the area...

for a standardized normal distribution, calculate the probabilities below. (standard normal disturbution table of the area need to be used) a) P(0.00 < z <_ 2.36) b) P(-1.50 < z <_ 1.50 ) c) P( 1.68 < z < 2.27 )

•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is...

•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is the area under a normal distribution? •What is the area under any distribution?

For a standardized normal distribution, determine a value, say z0, such that the following probabilities are...

For a standardized normal distribution, determine a value, say z0, such that the following probabilities are satisfied. a. P(0less thanzless thanz0)equals0.4641 b. P(minusz0less than or equalszless than0)equals0.34 c. P(minusz0less than or equalszless than or equalsz0)equals0.91 d. P(zgreater thanz0)equals0.035 e. P(zless than or equalsz0)equals0.02

Use the standard normal distribution to calculate the following probabilities: Cumulative area to the left: P...

Use the standard normal distribution to calculate the following probabilities: Cumulative area to the left: P (z < 1.20) = P (z < -1.09) = P (z < 2.34) = Cumulative area to the right: P (z > 1.23) = P (z > -2.05) = P (z > 3.50) = Subtracting cumulative areas: P (-1.23 < z < 1.23) = P (1.55 < z < 2.25) = P (-3.50 < z < 2.50) =

Let z denote a variable that has a standard normal distribution. Determine the value z* to...

Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Round all answers to two decimal places.) (a) P(z < z*) = 0.0244 z* = (b) P(z < z*) = 0.0097 z* = (c) P(z < z*) = 0.0484 z* = (d) P(z > z*) = 0.0208 z* = (e) P(z > z*) = 0.0097 z* = (f) P(z > z* or z < −z*) = 0.2043 z* =

- Assume that the variable Z is distributed as a standardized normal with a mean of...

- Assume that the variable Z is distributed as a standardized normal with a mean of 0 and a standard deviation of 1. Calculate the following: a. Pr (Z > 1.06) b. Pr (Z < - 0.29) c. Pr (-1.96 < Z < -0.29) d. The value of Z for which only 8.08% of all possible values of Z are larger than. - Assume that the variable X is distributed as normal with μ= 51 and σ = 4. Calculate...

In each situation below, calculate the standardized score (or z-score) for the value x. (a) Mean...

In each situation below, calculate the standardized score (or z-score) for the value x. (a) Mean μ = 0, standard deviation σ = 1, value x = 1.5. (b) Mean μ = 11, standard deviation σ = 7, value x = 4. (c) Mean μ = 15, standard deviation σ = 5, value x = 0. (d) Mean μ = -10, standard deviation σ = 10, value x = -30.

For the standard normal distribution, find the value of c such that: P(z > c) =...

For the standard normal distribution, find the value of c such that: P(z > c) = 0.0025

Calculate the probability For the standard normal distribution random variable Z using Excel formulae/functions. P (Z...

Calculate the probability For the standard normal distribution random variable Z using Excel formulae/functions. P (Z ≤ 2) P (-1.63 < Z ≤ 1.95) P (-1 < Z < 1) P (Z ≤ -0.69) P (0.85 < Z ≤ 2.23) P (Z > 3)

Given a standardized a normal distribution (with a mean of 0 and a standard deviation of...

Given a standardized a normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is that probability that a. Z is less than 1.57? b. Z is greater than 1.84? c. Z is between 1.57 and 1.84? d. Z is less than 1.57 or greater than 1.84?

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