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2 years ago

In the standard Normal distribution, which z-score represents the 99th percentile?

Mathematics

1 answer:

nydimaria [60]2 years ago

3 0

The Z- score representing the 99th percentile is given by 2.33

Problems of commonly distributed samples can be solved using the z-score formula.

For a set with a standard deviation, the z-score scale X is provided by:

Z = ( x- mean )/ standard deviation

Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.

To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.

This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33

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Please help as soon as possible!!!! Please explain your answer if possible!

JulijaS [17]

Answer:

The answer is A.

Step-by-step explanation:

First, you have to solve the inequality :

$4 - 3x < - 2$

$- 3x < - 2 - 4$

$- 3x < - 6$

$x > - 6 \div - 3$

$x > 2$

Therefore, x > 2, so only option A is suitable for the x values.

5 0

3 years ago

Using the standard normal distribution tables, the area under the standard Normal curve corresponding to -0.5 < Z < 1.2 is

inysia [295]

Answer:

D) 0.5764.

Step-by-step explanation:

According to a standard z-score table, a z-score of -0.5 corresponds to the 0.3085-th percentile of a standard normal distribution.

Furthermore, a z-score of 1.2 corresponds to the 0.8849-th percentile of a standard normal distribution.

Therefore, the area under the standard Normal curve corresponding to -0.5 < Z < 1.2 is:

$A = 0.8849-0.3085\\A=0.5764$

The answer is option D) 0.5764.

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3 years ago

Can you get this question answered please

Westkost [7]

D, B, C, E, A

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8 0

4 years ago

How many sevens are there is 3500

Marrrta [24]

Answer:

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7 0

4 years ago

Read 2 more answers

Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero v

GaryK [48]

Answer:

Let's define:

s1 = (3, 4)

s2 = (-1, 1)

s3 = (2, 0)

The system will be linearly dependent if we can write one of the vectors as a linear combination of the other two, so for example:

s1 = a*s2 + b*s3

where a and b are real numbers.

So let's try to solve this:

(3, 4) = a*(-1, 1) + b*(2, 0)

Note that the second term in the left only modifies the x-component. And the y-component in the left is 4, so we can conclude that a = 4 (because the first term is the only that has an y-component different than zero)

(3, 4) = 4*(-1, 1) + b*(2, 0)

(3, 4) = (-4, 4) + b*(2, 0)

Now we need to solve:

3 = -4 + b*2

3 + 4 = b*2

7 = b*2

7/2 = b

Then the linear combination is:

s1 = 4*s2 + (7/2)*s3

(3, 4) = 4*(-1, 1) + (7/2)*(2, 0)

Then the set is linearly dependent.

3 0

3 years ago