Math  /  Data & Statistics

QuestionAccording to the New York State Board of Law Examiners, approximately 63%63 \% of people taking the New York Bar Exam passed the exam.
1. If 20 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least 76%76 \% have passed? Round your answer to 4 decimal places. \square
2. If 44 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least 76%76 \% have passed? Round your answer to 4 decimal places. \square
3. Why did the probability decrease? The probability decreased since the sample size decreased resulting in a wider distribution which increased the area of the right tail. The probability decreased since the sample size increased resulting in a narrower distribution which reduced the area of the right tail.

Studdy Solution
1. For 20 people: 0.11560.1156
2. For 44 people: 0.03060.0306
3. The probability decreased since the sample size increased resulting in a narrower distribution which reduced the area of the right tail.

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