Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall

Question

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 4% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations?
b. If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Answer 1

There are four categories: no response, short, met, and exceeded expectations. The percentages are given for the first three, so you have to get the last percentage by subtracting from 100%. That will get you one answer.

 

Since there is no overlap between the groups, the percentage of "met or surpassed" is just the sum of "met" and "surpassed". 

 

Since you're choosing students at random from the same population surveyed, the chance of getting a given response is just the same as the percentages of those responses in the survey.