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Adult panda weights are normally distributed with a mean of 200pounds and a standard deviation of 20 pounds. The largest pandas weigh over 250 pounds.


Approximately what percent of the adult pandas weight over 250 pounds ?

Respuesta :

Mike33785
.621 percent should be your answerTo answer this problem we have to have a Standard Normal Distribution table because we need to look up z scores. Then we use this equation 
z = (value - mean)/(standard deviation) = (250-200)/20 = 2.5. 

The z score is then 2.5 If so, look up z=2.5 on the left edge then you then determine from the table what the area to the left of that is. 

Here are the conditions: 
p(z>2.5)=1 
p(z<2.5)=.621 
1-.621= .379 
100-37.9= 62.1

Given that, we should go with .621%.
JeanaShupp

Answer: 0.62%

Step-by-step explanation:

Given: The means weight of the adult panda:

[tex]\mu=200[/tex]

Standard deviation [tex]\sigma= 20[/tex]

Since, [tex]z=\dfrac{x-\mu}{\sigma}[/tex]

For x = 250

[tex]z=\dfrac{250-200}{20}\\\\\Rightarrow\ z =2.5[/tex]

Now, the probability of the adult pandas weight less than 250 pounds

[tex]P(z)=P(2.5)= 0.9937903[/tex]

Now, the probability of the adult pandas weight over than 250 pounds

[tex]1-P(z)=1-P(2.5)=1- 0.9937903=0.0062097=0.62097\approx0.62\%[/tex]

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