A random sample of 250 juniors majoring in psychology or communications at a lar

Question

A random sample of 250 juniors majoring in psychology or communications at a large university is selected. These students are asked whether or not they are happy with their majors. The table below gives the results of the survey. Assume that none of these 250 students is majoring in both areas.

Happy (H)

Unhappy (U)

Psychology (S)

80

20

Communications (C)

115

35

If one student is selected at random from this group, find the probability that this student is

a. happy with the choice of major

b. Is happy with major and is a communication major

c. a communications major, given that the student is happy with the choice of major   

Happy (H)

Unhappy (U)

Psychology (S)

80

20

Communications (C)

115

35

Explanation / Answer

a) P( happy with the choice of major ) = (80+115)/250 = 0.78

b) P( Is happy with major and is a communication major) = 115/250 = 0.46

c) P( communications major, given that the student is happy with the choice of major ) = 115/195

= 0.5897

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