In: Statistics and Probability
The age distribution of students at a community college is given below.
Age (years) Number of Students (f)
Under 21 416
21-25 420
26-30 219
31-35 51
Over 35 24
Total = 1130
Number of students (f) 416 420 219 51 24 1130
A student from the community college is selected at random. Find the conditional probability that the student is at most 35 given that he or she is at least 26.
P(student is at most 35 | he or she is at least 26) = P(26-35) / P(at least 26)
= [(219 + 51) / 1130] / [(219 + 51 + 24) / 1130]
= 270 / 294
= 0.9184