SOLUTION: The incubation time for Rhode Island red chicks is normally distributed with a mean of 21 days and a standard deviation of approximately 1 day ( based on information from world boo

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Question 1178714: The incubation time for Rhode Island red chicks is normally distributed with a mean of 21 days and a standard deviation of approximately 1 day ( based on information from world book encyclopedia). If 1000 eggs are being incubated how many chicks do we expect will hatch:
1. In 20 to 23, days?
2. In 19 to 24 days?
3. In 20 days or fewer?
4. In more than 20 days?
5. In less than 20 days and more than 23 days?
(Assume all eggs eventually hatch).
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
normally distributed with μ = 21 days and σ = 1  
n = 1000
Probability:
Using a TI calculator 0r similarly a Casio fx-115 ES plus
1. In 20 to 23, days? P = normalcdf(20,23,21,1) = .8186x1000 = 818.6 0r 818
2. In 19 to 24 days?   P =  normalcdf(19,24,21,1) = .9789x1000 = 978.9 0r 978
3. In 20 days or fewer?  normalcdf(-9999, 20,21,1) = .1587 = 158.7 0r 158
4. In more than 20 days? 1 - .1587 = .8413 = 841.3 0r 841
5. In less than 20 days and more than 23 days? normalcdf(-9999, 23,21,1)=.9772
 1 - .9772 = .1238, 123.8 x1000 = 123 rounded down 
 158 + 123 = 
 the Best in your Studies.


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