Mathematics, 26.06.2020 16:01 ineedhelp2285

Z=1.23 z=0.86 WHAT is the area of the shaded region between the two

Answers: 2

Show answers

Answers

Answer from: jakeagilbert

The area of the shaded region between $\\ z = 1.23$ and $\\ z = 0.86$ is $\\ P(0.86 < z < 1.23) = 0.08554$ or 8.554%.

Step-by-step explanation:

To solve this question, we need to find the corresponding probabilities for the standardized values (or z-scores) z = 1.23 and z = 0.86, and then subtract both to obtain the area of the shaded region between these two z-scores.

We need to having into account that a z-score is given by the following formula:

$\\ z = \frac{x - \mu}{\sigma}$

Where

x is a raw score from the distribution that we want to standardize using [1]. $\\ \mu$ is the mean of the normal distribution. $\\ \sigma$ is the standard deviation of the normal distribution.

A z-score indicates the distance of x from the mean in standard deviations units, where a positive value "tell us" that x is above $\\ \mu$ , and conversely, a negative that x is below $\\ \mu$ .

The standard normal distribution is a normal distribution with $\\ \mu = 0$ and $\\ \sigma = 1$ , and has probabilities for standardized values obtained using [1]. All these probabilities are tabulated in the standard normal table (available in any Statistical book or on the Internet).

Using the cumulative standard normal table, for $\\ z = 1.23$ , the corresponding cumulative probability is:

$\\ P(z$

The steps are as follows:

Consult the cumulative standard table using z = 1.2 as an entry. Z-scores are in the first column of the mentioned table. In the first row of it we have +0.00, +0.01, +0.02 and, finally, +0.03. The probability is the point that result from the intersection of z = 1.2 and +0.03 in the table, which is $\\ P(z$ .

Following the same procedure, the cumulative probability for $\\ z = 0.86$ is:

$\\ P(z$

Subtracting both probabilities (because we need to know the area between these two values) we finally obtain the corresponding area between them (two z-scores):

$\\ P(0.86 < z < 1.23) = 0.89065 - 0.80511$

$\\ P(0.86 < z < 1.23) = 0.08554$

Therefore, the area of the shaded region between $\\ z = 1.23$ and $\\ z = 0.86$ is $\\ P(0.86 < z < 1.23) = 0.08554$ or 8.554%.

We can see this resulting area (red shaded area) in the graph below for a standard normal distribution, $\\ N(0, 1)$ , and $\\ z = 0.86$ and $\\ z = 1.23$ .

Z=1.23 z=0.86 WHAT is the area of the shaded region between the two

Answer from: Quest

Jim has run 5/6 of a mile so far. i hope that answers your question! good luck : )

Answer from: Quest

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

Another question on Mathematics

Mathematics, 21.06.2019 19:40

If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure? 168 units2 240 units2 144 units2 96 units2

Answers: 1

Answer

Mathematics, 21.06.2019 20:10

Look at the hyperbola graphed below. the hyperbola gets very close to the red lines on the graph, but it never touches them. which term describes each of the red lines? o o o o a. asymptote b. directrix c. focus d. axis

Answers: 3

Answer

Mathematics, 21.06.2019 22:30

Pls never taught i’m really confused and i rlly need

Answers: 1

Answer

Mathematics, 21.06.2019 22:50

Which will form a composite function?

Answers: 1

Answer

You know the right answer?

Z=1.23 z=0.86 WHAT is the area of the shaded region between the two...