11. 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 P(x) x*P(x) 1 0.35   2 0.20   3 0.10   4     5 0.15   6 0.05   Find the probability that a physics major will do post-graduate research for at most three years. (Enter an exact number as an integer, fraction, or decimal.) P(x ≤ 3) =

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11. 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
P(x)
x*P(x)
1 0.35  
2 0.20  
3 0.10  
4    
5 0.15  
6 0.05  

Find the probability that a physics major will do post-graduate research for at most three years. (Enter an exact number as an integer, fraction, or decimal.)

P(x ≤ 3) =
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