Answer
See work.
Work Step by Step
Rule 1: Each probability is greater than or equal to 0 and less than or equal to 1.
Rule 2:
$P(Engineering)+P(Physical sciences)+P(Life sciences)+P(Mathematics)+P(Computer sciences)+P(Social sciences)+P(Humanities)+P(Education)+P(\text{Professional and other fields})+P(Health)=0.154+0.087+0.203+0.031+0.033+0.168+0.094+0.132+0.056+0.042=1.$
