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Question # 3Given a standard normal distribution, find the following probabilities: (6 points each)a. P(z < 1.15)b. P(z > 0.45)c. P(-1.9 < z < 0.4)Question # 4A study shows that scores on an aptitude test are normally distributed with a mean of 70 and a standard deviation of 12. Find the following probabilities: (6 Points each)a. If one test taker is selected, that the person scored greater than 75.b. If 9 test takers are selected, that they have a mean score greater than 75. c. If 49 test takers are selected, that they have a mean score greater than 75.Question # 5Use the normal distribution to approximate the following probability: According to the most recent Davenport student profile, 47% of students have children under 17 living at home with them. Find the probability that a random sample of 800 students will return more than 50% students with children under 17 living at home with them. (10 points)Question # 6Use Minitab to compute the following two-sided confidence intervals: (6 Points each)For parts e & f, use the approximate methoda. 95% Confidence Level, Sample Mean = 95, σ (sigma) = 10, and n = 25 b. 95% Confidence Level, Sample Mean = 22, s= 4, and n = 16c. 95% Confidence Level, Sample Proportion = 0.40, n = 200
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