Question

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. If 1000 eggs are being incubated, how many chicks do we expect will hatch?

a. In 19 to 23 days?
b. In 22 days or more?
c. In 21 days or fewer?
d. In 18 to 21 days?
e. In 19 days or fewer?
f. In 19 to 24 days?
g. In 18 to 24 days?
h. In 18 days or more?

Answer 1

To find the number of chicks expected to hatch based on incubation time, use the normal distribution and calculate the z-scores to find the areas under the curve.

Step-by-step explanation:

To find the number of chicks we expect to hatch, we need to use the normal distribution. The mean incubation time is 21 days and the standard deviation is approximately 1 day.

a. To find the number of chicks expected to hatch in 19 to 23 days, we calculate the z-scores for both 19 and 23 and use the standard normal distribution table to find the areas under the curve. The difference between these two areas gives us the expected number of chicks.

b. To find the number of chicks expected to hatch in 22 days or more, we calculate the z-score for 22 and find the area under the curve to the right of this z-score.

c. To find the number of chicks expected to hatch in 21 days or fewer, we calculate the z-score for 21 and find the area under the curve to the left of this z-score.