Question

In: Statistics and Probability

The grade appeal process at a university requires that a jury be structured by selecting eight...

The grade appeal process at a university requires that a jury be structured by selecting

eight

individuals randomly from a pool of

eight

students and

twelve

faculty. (a) What is the probability of selecting a jury of all students? (b) What is the probability of selecting a jury of all faculty? (c) What is the probability of selecting a jury of

four

students and

four

faculty?

Expert Solution

Jury to have 8 individuals

Number of students in the pool = 8

Number of faculty in the pool = 12

Number of individuals in the pool =8+12 =20

(a)

Probability of selecting a jury of all students

= Number of selecting 8 students for jury from 8 students / Number ways of selecting 8 individuals for jury from 20 individuals

Probability of selecting a jury of all students = 1/125970 = 0.00000794

(b)

Probability of selecting a jury of all faculty

= Number of selecting 8 faculty for jury from 12 faculty / Number ways of selecting 8 individuals for jury from 20 individuals

Probability of selecting a jury of all faculty= 33/8398 = 0.003929507

(c)

probability of selecting a jury of four students and four faculty=

= Number of selecting 4 students for jury from 8 students x Number of selecting 4 faculty for jury from 12 faculty / Number ways of selecting 8 individuals for jury from 20 individuals

Probability of selecting a jury of four students and four faculty = 3465/12597 = 0.275065492

orchestra answered 2 years ago

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