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scZoUnD [109]
2 years ago
12

How do I solve this problem?​

Mathematics
1 answer:
damaskus [11]2 years ago
8 0

Answer:

you would get 26 each

Step-by-step explanation:

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The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th
zlopas [31]

Answer:

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

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 average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:  

X \sim N(10,2)  

Where \mu=10 and \sigma=2  

We are interested on this probability  

P(X>8)  

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}  

If we apply this formula to our probability we got this:  

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

5 0
3 years ago
A group of 12 students participated in a dance competition. Their scores are in the image attached
julsineya [31]
Dot plot because a small number of scores are reported individually
7 0
2 years ago
What is the value of the expression? <br><br> -11³
AlexFokin [52]

the answer is -1331

     

8 0
3 years ago
(3√5)2 i got 45 bit my calculator says 15. ?
UkoKoshka [18]
So, (3√5)^2

So, 3√5(3√5)

3*3 is 9
and √5*√5 is 5

9*5 is 45.
3 0
2 years ago
A blueberry muffin recipe calls for 3/4 cup of
irina1246 [14]

Answer:

2 1/4 cups of sugar

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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