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Mr. Mario Mendoza is a famous baseball player (Shortstop) in the Major League Baseball. Usually, he...

  1. Mr. Mario Mendoza is a famous baseball player (Shortstop) in the Major League Baseball. Usually, he can successfully hit 2 out of 10 at bats. Therefore, the Mendoza line is named after him.

  1. In a particular season, he attempted 100 at bats. Define X as the number of hits he will have. Write down how X is distributed.

X ~ __________________

  1. Can I use normal approximation in this question?  (Circle one)                    Yes / No

Explain briefly.

Reasons: _________________________________

  1. What is the probability that he makes more than 25 hits?

p = ___________________

  1. What is the probability that he makes less than 25 hits?

p = ___________________

  1. What is the probability that he makes exactly 25 hits? (There are two ways to do this part, either way is fine.)  

p = ___________________

  1. Construct a 90% Confidence Interval for the average number of hits he will have in 100 at bats.

(                       ,                  )

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