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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

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Answer:

21.4

Step-by-step explanation:

Given that :

Mean number of days (m) = 30

Standard deviation (σ) = 2

Sample size (n) = 1000

First find the Zscore

Using the relation :

Zscore = (x - m) / σ

For x = 24

Zscore = (24 - 30) / 2

Zscore = - 6/ 2

Zscore = - 3

For x = 26

Zscore = (26 - 30) / 2

Zscore = - 4/ 2

Zscore = - 2

P(-3 < z < - 2)

P(z < - 3) = 0.0013499

P(Z < - 2) = 0.02275

0.02275 - 0.0013499 = 0.0214001

Hence,

n * 0.0214001

1000 * 0.0214001 = 21.4001

= 21.4

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