According to the New York State Board of Law Examiners approximately 68 of people taking the New York Bar Exam passed the exam Use this information to find the following probabilities Round solutions to four decimal places if necessary 1 If 10 people who have taken the New York Bar Exam are randomly selected what is the probability that at least 75 have passed Round your answer to 4 decimal places P p 0 75 2 If 48 people who have taken the New York Bar Exam are randomly selected what is the probability that at least 75 have passed Round your answer to 4 decimal places P 0 75 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