A random sample of 76 statistics students were asked about their latest test score (pass or failand whether they studied for the test or not. The following contingency table gives the two-way classification of their responses

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A random sample of 76 statistics students were asked about their latest test score (pass or failand whether they studied for the test or not. The following contingency table gives the two-way classification of their responses .
Pass
Fail
Did Study
17
14
Did Not Study
33
12
Suppose one student is randomly selected from the group. Calculate the following probabilities.
Round solutions to three decimal places, if necessary.
P(Did Study and Pass)
0.224
P(Did Not Study and Fail)
0.158
P(Pass or Did Not Study)
P(Fail or Did Study)
0.566
P(Fail and Pass)
P(Pass or Fail)
Transcribed Image Text:Pass Fail Did Study 17 14 Did Not Study 33 12 Suppose one student is randomly selected from the group. Calculate the following probabilities. Round solutions to three decimal places, if necessary. P(Did Study and Pass) 0.224 P(Did Not Study and Fail) 0.158 P(Pass or Did Not Study) P(Fail or Did Study) 0.566 P(Fail and Pass) P(Pass or Fail)
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