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) About Me  (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.