In a recent survey of seniors on a college campus, 30% of all seniors were serio
ID: 3228449 • Letter: I
Question
In a recent survey of seniors on a college campus, 30% of all seniors were seriously concerned about employment prospects, 40% were seriously concerned about grades, and 20% were seriously concerned about both. A person is randomly chosen from the survey sample.
(a) What is the probability that the person we select is seriously concerned about employment prospects or grades? (b) Are the events "seriously concerned about employment" and "seriously concerned about grades" statistically independent? (c) Suppose the person we select is seriously concerned about grades? What is the probability that the person is also seriously concerned about employment?Explanation / Answer
let A be the event seriously concerned about employment prospects
and B be the event seriously concerned about grades
a)probability that the person we select is seriously concerned about employment prospects or grades
=P(A)+P(B)-P(AnB)= 0.4+0.3-0.2=0.5
b)No as P(AnB)=0.2 which is not equal to P(A)*P(B)=0.4*0.3=0.12
c) probability that the person is also seriously concerned about employment given employee is seriously concerned about grades=0.2/0.4=0.5
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