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A company which produces jelly beans claims that the amount, in ounces, of jelly beans in...

A company which produces jelly beans claims that the amount, in ounces, of jelly beans in their bags is uniformly distributed on the interval 14 to 18 ounces.Assuming that the claim of the company is true, what is the probability that a randomly selected bag contains less than 16.25 ounces?

Math   Statistics-And-Probability   
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Answer #1

    Let X be the amount in ounces of jelly beans                      
   X ~ Uniform (14, 18)       a = 14, b = 18              
   PDF of X is                      
                
   that is                       
      
   CDF of X is                       

   To find P(randomly selected bag contains less than 16.25 ounces)                      
   that is to find P(X < 16.25)                      
   P(X < 16.25) = F(16.25)                      
                          
                           = 0.5625                      
                          
   Answer :                      
   P(randomly selected bag contains less than 16.25 ounces) =                   
                          

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