A random sample of 25 computer programmers was selected to compare two full-screen-edit intelligent terminals, one manufactured by vendor A and the other by vendor B.  After working with the two types of terminals, each programmer was asked to choose the terminal that he or she preferred.  Let y be the number of sampled programmers who prefer the terminal manufactured by vendor A.   is y a binomial random variable? If the two terminals are, in fact, identical, then p=0.5. Find p(y³19) If observe y=19, what would you infer about the true value of p?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A random sample of 25 computer programmers was selected to compare two full-screen-edit intelligent terminals, one manufactured by vendor A and the other by vendor B.  After working with the two types of terminals, each programmer was asked to choose the terminal that he or she preferred.  Let y be the number of sampled programmers who prefer the terminal manufactured by vendor A.  

  1. is y a binomial random variable?
  2. If the two terminals are, in fact, identical, then p=0.5. Find p(y³19)
  3. If observe y=19, what would you infer about the true value of p?
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