A student organization is trying to decide whether or not to

A student organization is trying to decide whether or not to offer more movies on campus. They want to determine whether this idea will appeal to members of both genders. A random sample of 1000 students was asked if they were in favor of more movies on campus. The results by gender are shown in the table below in Figure 4.

Gender Infavor no opinion oppesed

Male 330 165 55

Female 225 180 45

Fig. 4: Summary

(a) What proportion of the sampled students is in favor of more movies on campus? (b) What proportion of the sampled females is in favor of more movies on campus?

(c) What proportion of the sampled males is in favor of more movies on campus?

Solution

Consider the table:

a) P(favor) = 555/1000 = 0.555 [answer]

b) P(favor|female) = 225/450 = 0.50 [answer]

c) P(favor|male) = 330/550 = 0.60 [answer]