A university conducted a survey of 380 undergraduate students regarding satisfac

Question

A university conducted a survey of 380 undergraduate students regarding satisfaction with student government Results of the survey are shown in the table by class rank. Complete parts (a) through (d) below Click the icon to view the table (a) If a survey participant is selected at random, what is the probability that he or she is satisfied with student government? P(satisfied) (Round to three decimal places as needed.) (b) If a survey participant is selected at random, what is the probability that he or she is a junior? P(junior)- Round to three decimal places as needed.) (C) If a survey participant is selected at random, what is the probability that he or she is satisfied and a junior? P(satisfied and junior)- (Round to three decimal places as needed.) (d) If a survey participant is selected at random, what is the probability that he or she is satisfied or a junior? P(satisfied or junior)- Round to three decimal places as needed.) Data Table Satisfied Neutral Not satisfied Total Freshman Sophomore Junior Senior Total 232 65 83 380 54 20 50 19 68 12 20 100 60 25 90 PrintDone

Explanation / Answer

(a) P(satisfied) = 232 / 380 = 0.611.

(b) P(junior) = 100 / 380 = 0.263.

(c) P(satisfied and junior) = 68 / 380 = 0.179.

(d) P(satisified or junior) = (232 + 100 - 68) / 380 = 0.695

This can also be calculated as P(satisfied) + P(junior) - P(satisfied and junior)

= 0.611 + 0.263 - 0.179

= 0.695.

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