The incubation time for a breed of chicks is normally distributed with a mean of 30 days and standard deviation of approximately 2 days. Look at the figure below and answer the following questions. If 1000 eggs are being incubated, how many chicks do we expect will hatch in the following time periods? (Note: In this problem, let us agree to think of a single day or a succession of days as a continuous interval of time. Assume all eggs eventually hatch.) Area Under a Normal Curve

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The incubation time for a breed of chicks is normally distributed with a mean of 30 days and standard deviation of approximately 2 days. Look at the figure below and answer the
following questions. If 1000 eggs are being incubated, how many chicks do we expect will hatch in the following time periods? (Note: In this problem, let us agree to think of a single
day or a succession of days as a continuous interval of time. Assume all eggs eventually hatch.)
Area Under a Normal Curve
2.35%
13.5%
34%
34%
13.5%
2.35%
p- 30 p- 20
e to
u+20 u+ 30
68%
95%
99.7%
(a) in 26 to 34 days
chicks
(b) in 28 to 32 days
chicks
(c) in 30 days or fewer
chicks
(d) in 24 to 36 days
chicks
Transcribed Image Text:The incubation time for a breed of chicks is normally distributed with a mean of 30 days and standard deviation of approximately 2 days. Look at the figure below and answer the following questions. If 1000 eggs are being incubated, how many chicks do we expect will hatch in the following time periods? (Note: In this problem, let us agree to think of a single day or a succession of days as a continuous interval of time. Assume all eggs eventually hatch.) Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% p- 30 p- 20 e to u+20 u+ 30 68% 95% 99.7% (a) in 26 to 34 days chicks (b) in 28 to 32 days chicks (c) in 30 days or fewer chicks (d) in 24 to 36 days chicks
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