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The incubation time for a breed of chicks is normally distributed with a mean of 20 days and standard deviation of approximately 1 day. 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.)

 

a) in 18 to 22 days 
 chicks 

(b) in 19 to 21 days 
 chicks 

(c) in 20 days or fewer 
 chicks 

(d) in 17 to 23 days 
 chicks

 Dec 13, 2018
 #1
avatar+568 
0

Figure below? I don't see a figure...

 Dec 13, 2018
 #2
avatar+4396 
+1

\(\text{Let }\Phi(x) \text{ be the CDF of the standard normal distribution}\\ P[n \leq N] = \Phi\left(\dfrac{N-\mu}{\sigma}\right)\\ P[N < n] = 1-P[n \leq N] \\ P[N_l \leq n \leq N_h] = \Phi\left(\dfrac{N_h-\mu}{\sigma}\right) - \Phi\left(\dfrac{N_l-\mu}{\sigma}\right)\)

 

now just dump your numbers in

 Dec 13, 2018
 #3
avatar+99122 
0

Here is a great site to check you answers in.

 

http://davidmlane.com/hyperstat/z_table.html

 Dec 16, 2018

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