A university conducted a survey of 391 undergraduate students regarding satisfac

Question

A university conducted a survey of 391 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. a) If a survey participant is selected at random, what is the probability that he or she is satisfied with student government? b) If a survey participant is selected at random, what is the probability that he or she is a junior? c) If a survey participant is selected at random, what is the probability that he or she is satisfied and a junior? d) If a survey participant is selected at random, what is the probability that he or she is satisfied or a junior? A university conducted a survey of 391 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. a) If a survey participant is selected at random, what is the probability that he or she is satisfied with student government? b) If a survey participant is selected at random, what is the probability that he or she is a junior? c) If a survey participant is selected at random, what is the probability that he or she is satisfied and a junior? d) If a survey participant is selected at random, what is the probability that he or she is satisfied or a junior?
91 undergraduate students regarding satisfaction with student government. Results of the s below i Data Table Satisfied Neutral Not satisfied Total Freshman Sophomore Junior Senior Total 230 75 86 391 50 26 24 100 53 17 25 95 68 19 13 1126 98 59 98 Print Done at random, what is the probability that he or she is satistied or a junior?

Explanation / Answer

Ans:

a) probability that he or she is satisfied with student government:

P(satisfied)=230/391=0.588

b) probability that he or she is a junior:

P(junior)=98/391=0.251

c)probability that he or she is satisfied and a junior:

P(satisfied and a junior)=68/391=0.174

d)probability that he or she is satisfied or a junior:

P(satisfied or junior)=P(satisfied)+P(junior)-P(satisfied and junior)

=(230/391)+(98/391)-(68/391)

=(230+98-68)/391=260/391=0.665

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