The efficiency X of a certain electrical component may be as

The efficiency X of a certain electrical component may be assumed to be a random variable that is distributed uniformly between 0 and 100 units. What is the probability that X is:

a) Between 60 and 80 units

b) Greater than 90 units

Solution

a)

Note that here,          
          
a = lower fence of the distribution =    0      
b = upper fence of the distribution =    100      
          
          
Also, the area between the said numbers is          
          
c = lower number =    60      
d = higher number =    80      
          
Thus,          
          
A = (d - c)/(b - a) =    0.2   [ANSWER]

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b)

Note that here,          
          
a = lower fence of the distribution =    0      
b = upper fence of the distribution =    100      
          
          
Also, the area between the said numbers is          
          
c = lower number =    90      
d = higher number =    100   [as it ends the distrbution]
          
Thus,          
          
A = (d - c)/(b - a) =    0.1 [ANSWER]