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the incubation time for rhode island red chicks is normally distributed with mean of 30 days and standard deviation of approximately 2 days. if 1000 eggs are being incubated, how many chicks do we expect will hatch in 24 to 26 days?

 Mar 5, 2015

Best Answer 

 #2
avatar+118609 
+5

Here is a pic

 

 

 

Here the probability is calculated to be 2.14 %.  It would be a little more accurate than my 2.35%

 

Using this percentage  the answer would be 0.0214*1000=21.4 = 21 chicks

 Mar 5, 2015
 #1
avatar+118609 
+5

30-3*2=24 so    24 is 3 standard deviations below the mean

30-3*3-26  so     26 is 2 standard deviations below the mean

 

Prob  of being in this area is approx  (99.7-95)/2 percent 

 

$${\frac{\left({\mathtt{99.7}}{\mathtt{\,-\,}}{\mathtt{95}}\right)}{{\mathtt{2}}}} = {\frac{{\mathtt{47}}}{{\mathtt{20}}}} = {\mathtt{2.35}}$$     percent

 

$${\frac{{\mathtt{2.35}}}{{\mathtt{100}}}}{\mathtt{\,\times\,}}{\mathtt{1\,000}} = {\frac{{\mathtt{47}}}{{\mathtt{2}}}} = {\mathtt{23.5}}$$     

23.5 chick.   I suppose I should round that to approx   24 chicks.   :)

 Mar 5, 2015
 #2
avatar+118609 
+5
Best Answer

Here is a pic

 

 

 

Here the probability is calculated to be 2.14 %.  It would be a little more accurate than my 2.35%

 

Using this percentage  the answer would be 0.0214*1000=21.4 = 21 chicks

Melody Mar 5, 2015

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