![ellyssabailey2006](/avatars/15222.jpg)
ellyssabailey2006
28.08.2021 •
Mathematics
Si 46 x + 322 = 1242 cual es el valor de x?
Solved
Show answers
More tips
- F Family and Home What is Most Important in Men s Lives?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics Circunferencia en el centro fuera de origen ¿Cuál es la ecuación y el lugar geométrico(gráfica) de la circunferencia que tiene centro en el origen y pasa por el...
- M Mathematics Draw to show how you would subtract 19 from 37...
- B Biology Sid created a chart to summarize characteristics of satellite motion. a 2 column table with 3 rows. the first column is labeled characteristic with entries tangential...
- H History The words of this famous quotation, the first message sent by telegraph, were transmitted by samuel morse from washington, d.c. to a. baltimore, maryland c. philadelphia,...
Ответ:
And if we solve for a we got
So the value of height that separates the bottom 85% of data from the top 15% is 62.432.
Step-by-step explanation:
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".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=12](/tpl/images/0526/9241/28632.png)
For this part we want to find a value a, such that we satisfy this condition:
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.036. On this case P(Z<1.036)=0.85 and P(z>1.036)=0.15
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 85% of data from the top 15% is 62.432.