Probabilistic System Analysis Homework from my College
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1. An english course organizer claims that 89% of the enrolled participants
are satisfied with the teachers' performance. Some in a group of 119 participants question the claim, where 99 of them confirm that they are indeed satisfied with the teachers' performance.
a. Find the 95% confidence interval for the actual proportion of satisfied participants.
b. Assuming that the claim of the organizer is correct, find the probability
that only 99 out of 119 participants are satisfied with the teachers' performance.
2. Determine how many respondents must at least be asked so that the result of an election can be predicted within 2.5% margin of error with 95% confidence level.
are satisfied with the teachers' performance. Some in a group of 119 participants question the claim, where 99 of them confirm that they are indeed satisfied with the teachers' performance.
a. Find the 95% confidence interval for the actual proportion of satisfied participants.
b. Assuming that the claim of the organizer is correct, find the probability
that only 99 out of 119 participants are satisfied with the teachers' performance.
2. Determine how many respondents must at least be asked so that the result of an election can be predicted within 2.5% margin of error with 95% confidence level.