The age distribution of students at a community college is given below. Age (years) Number of...

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.

Expert Solution

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

orchestra answered 1 year ago

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