The probability of at least 2 students showing up is .70 or 70%
Let X be the number of students who show up for a professor's office hour on a particular day, probability of X is p(0) = 0.10, p(1) = 0.20, p(2) = 0.25, p(3) = 0.30 and p(4) = 0.15
If we add the probability of 1 student showing up, 2 students to show up, 3 students to show up, and 4 students showing up
We get 0.10+ 0.20+ 0.25+ 0.15 =1
As the sum of these individual 4 possibilities is 1 that means these are the only possibilities to exit
Now we need to find out the probability of at least 2 students showing up which means the probability of two or more students showing up
Which can be written as
p(≥2) = p(2) + p(3) + p(4)
p(≥ 2) = 0.25+0.30+0.15
p(≥2) = 0.70
Hence, the probability of at least 2 students showing up is .70 or 70%
To know more about probability - brainly.com/question/11234923
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