Final answer:
To calculate the probability of meeting at least one left-handed person in seven random encounters on campus with an incidence rate of 22%, use the complement rule. The probability is approximately 90.63%.
Step-by-step explanation:
To calculate the probability of meeting at least one left-handed person in seven random encounters on campus with an incidence rate of 22%, we can use the complement rule. The complement of meeting at least one left-handed person is not meeting any left-handed person. The probability of not meeting any left-handed person in a single encounter is 1 - 0.22 = 0.78. So, the probability of not meeting any left-handed person in all seven encounters is 0.78^7. Therefore, the probability of meeting at least one left-handed person is 1 - 0.78^7 ≈ 0.9063, or 90.63%.