tion of approximately 3 days. Look at the figure below and answer the following questions. If 10,000 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.) (a) in 31 to 43 days

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The incubation time for a breed of chicks is normally distributed with a mean of 37 days and standard deviation of approximately 3 days. Look at the figure below and answer the following questions. If 10,000 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.)

(a) in 31 to 43 days

(b) in 34 to 40 days

(c) in 37 days or fewer

(d) in 28 to 46 days

We are given that the incubation time is normally distributed with a mean of 37 days and standard deviation of 3 days. Therefore, ? =  and ? =  .

We wish to determine how many of the 10,000 eggs can be expected to hatch in 31 to 43 days. Since 

37 − 31 = 6,

 31 days is located  standard deviations to the left of the mean. Similarly, 43 days is located  standard deviations to the right of the mean.

 

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