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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

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, and 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 teacher's performance.

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