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(1 point) Use the following information to answer the exercises: A physics professor wants to know...

(1 point) Use the following information to answer the exercises: A physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. He has the following probability distribution.

  ?X   1 2 3 4 5 6
?(?)P(X) 0.16 0.19 0.11 0.12 0.05 0.37

Find the probability that a physics major will do post-graduate research for four years.

Find the probability that a physics major will do post-graduate research for at most three years.

On average, how many years would you expect a physics major to spend doing post-graduate research?

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