The amount of water in a 12ounce can has a uniform distribut

The amount of water in a 12-ounce can has a uniform distribution between 11.96 ounces and 12.05 ounces.

a.What is the mean amount per can?

b.What is the probability of selecting a can of water and finding it has less than 12 ounces?

c.What is the probability of selecting a can of water and finding it has more than

11.98 ounces?

d. What is the probability of selecting a can of water and finding it has more than

11.00 ounces?

Solution

a)

mean = (11.96+12.05)/2 = 12.005 [ANSWER]

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b)

Note that here,          
          
a = lower fence of the distribution =    11.96      
b = upper fence of the distribution =    12.05      
          
  
Also, the area between the said numbers is          
          
c = lower number =    11.96      
d = higher number =    12      
          
Thus,          
          
A = (d - c)/(b - a) =    0.444444444   [ANSWER]

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c)

The area between the said numbers is          
          
c = lower number =    11.98      
d = higher number =    12.05      
          
Thus,          
          
A = (d - c)/(b - a) =    0.777777778   [ANSWER]

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d)

It is 1, and 11.00 oz is below the distirbution. [ANSWER, 1]