Based on the normal curve, make a probability distribution chart with weight as the variable. The current prices of the eggs per dozen are already entered in the table. Eggs that are very large or very small have very little market value, so you will not sell the eggs that weigh below 18.5 ounces or above 30.5 ounces.   18.5–22.5 oz. 22.5–26.5 oz. 26.5–30.5 oz. Not for Sale x (price per dozen) $1.90 $2.50 $2.75   P(x): lower z < x < upper z         Need help with this question (Question 2)

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Author:Amos Gilat
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Your chicken farm is a small-scale, family venture, and you don’t have fancy equipment to weigh each egg or to sort them by size. So, you just gather all the eggs laid in a day and weigh them in dozens. For your flock of chickens, the mean weight of a dozen eggs is 22.5 ounces, with a standard deviation of 4 ounces per dozen.

Question 1

Mark off a normal distribution with the numbers for the mean and each deviation by labeling the values for A, B, C, D, E, F, and G in the table.Then write down the probability of the eggs falling into each weight category according to the 68-95-99.7 rule.

THIS QUESTION IS COMPLETE.

  Value
A 22.5
B 18.5
C 14.5
D 10.5
E 26.5
F 30.5
G 34.5

According to the 68-95-99.7 rule:
68% of eggs will weigh between 18.5 and 26.5 ounces.
95% of the eggs will weigh between 14.5 and 30.5 ounces.
99.7% of the eggs will weigh between 10.5 and 34.5 ounces.

 

Question 2

Based on the normal curve, make a probability distribution chart with weight as the variable. The current prices of the eggs per dozen are already entered in the table. Eggs that are very large or very small have very little market value, so you will not sell the eggs that weigh below 18.5 ounces or above 30.5 ounces.

  18.5–22.5 oz. 22.5–26.5 oz. 26.5–30.5 oz. Not for Sale
x (price per dozen) $1.90 $2.50 $2.75  
P(x): lower z < x < upper z

 

     

Need help with this question (Question 2)

 
 
 
 
 

 

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