A university conducted a survey of 358358 undergraduate students regarding satis

Question

A university conducted a survey of 358358 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. (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.) Freshman Sophomore Junior Senior Satisfied 53 45 65 55 Neutral 28 12 10 13 Not satisfied 19 19 17 22

Explanation / Answer

Given data is:

                        Freshman             Sophomore     Junior      Senior             Total

Satisfied 53 45    65 55    218

Neutral 28 12    10 13 63

Not satisfied 19 19 17    22 77

Total 100 76    92    90 358

(a) P(satisfied) = 218/358 = 0.609
(b) P(junior) = 92/358 = 0,257

(c) P(satisfied and junior) = 65/358 = 0.182

(d) P(satisfied or junior ) = P(satisfied) + P(junior) - P(satisfied and junior ) = 218/358 + 92/358 - 65/358

                                      = 0.609 + 0.257 - 0.182 = 0.684

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