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 5% 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

Answer 1

0.04

Explanation:

We are given that

The probability that the alumnus did not provide response=5%

The probability that the alumnus did not provide response=
`(5)/(100)=0.05`

The probability that the alumnus would say their experience fell short of expectations=26%=0.26

The probability that the alumnus would say their experience met expectations=65%=0.65

We have to find the probability that the alumnus would say their experience surpassed expectations.

We know that

Sum of all probabilities =1

Using the property

The probability that the alumnus would say their experience surpassed expectations=1-(0.05+0.26+0.65)

The probability that the alumnus would say their experience surpassed expectation=0.04