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Statistics - Probability Distribution and Mean Determination

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Incubated time for black chicks is distributed with a mean of 21days and standard deviation of 1 day.using what is given, If 1000 eggs are being incubated how many chicks do we expect to hatch
a) in 19-23 days, in 20 to 22 dayd
b) in 21 days or fewer
d) in 18 to 24 days assuming all eggs hatched.
This is what is given:u-3(mean)=2.35%
u-2(mean)=13.5%
standard deviation(u)-mean=34%
standard deviation.=34%
u+(mean)=13.5%
u+2(mean)=2.35%
u+3(mean)=2.35%
and u-mean, u, u+ mean =68%
and u-2(mean, u-mean, u, u-mean, u+2(mean)=95%
u-3(mean), u-2(mean), u-mean, u, u+mean, u+2(mean), u+3(mean)=99.7%

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The expert examines the probability distribution and mean determinations. Neat, step-by-step solution is provided.

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 = 21,  = 1
z = (x - )/
(a) z = (19 - 21)/1 = -2 and z = (23 - 21)/1 = 2
Number of chicks ...

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