Mathematics, 28.12.2019 05:31 ezequielromero41

Assuming a normal distribution of 1000 cases, how many cases will be farther away from the mean than + 3 standard deviations? a. about 3 b. at least 500 c. it is impossible to estimate d.327

Answers: 1

Show answers

Answers

Answer from: alex7881

P(-3

And then the probability that will be farther away from the mean than + 3 standard deviations is just

1-0.9973= 0.0027

And the number of cases would be 1000*0.0027=2.7 or approximatley 3 cases. And the bes option is : a.About 3

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

We are interested on this probability

$P(X-3\mu$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

And we can find this probability on this way:

P(-3

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

P(-3

And then the probability that will be farther away from the mean than + 3 standard deviations is just

1-0.9973= 0.0027

And the number of cases would be 1000*0.0027=2.7 or approximatley 3 cases. And the bes option is : a.About 3

Answer from: Quest

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

Answer from: Quest

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒ $y=\frac{+1}{+1}x+0$

or $y=\frac{-1}{-1}x+0$

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

Another question on Mathematics

Mathematics, 21.06.2019 13:00

Which of the following best describes the graph below? a. it is a function, but it is not one-to-one. b. it is a one-to-one function. c. it is not a function. d. it is a many-to-one function.

Answers: 1

Answer

Mathematics, 21.06.2019 14:00

Jackie bought a bag of oranges. she used 3/8 of the oranges to make orange juice. she used 1/3 of the oranges to make a fruit salad. she put 1/8 of the oranges in a bowl on the table. she put 2/12 of the oranges in the refrigerator. a) jackie left more oranges on the table than she put in the refrigerator. b) jackie used fewer oranges to make orange juice than she left on the table. c) jackie put fewer oranges in the refrigerator than she used to make the fruit salad. eliminate d) jackie used more oranges to make a fruit salad than she used to make orange juice.

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

What is the value of the expression 9+n/3-6 when n = 12? 1. 5. 7. 12.

Answers: 1

Answer

Mathematics, 21.06.2019 18:10

Points a, b, and c form a triangle. complete the statements to prove that the sum of the interior angles of triangle abc is 180

Answers: 1

Answer

You know the right answer?

Assuming a normal distribution of 1000 cases, how many cases will be farther away from the mean than...