There are two college entrance exams that are often taken by​ students, Exam A and Exam B. The composite score on Exam A is approximately normally distributed with mean 20.7 and standard deviation 5.1. The composite score on Exam B is approximately normally distributed with mean 1036 and standard deviation 214. Suppose you scored 25 on Exam A and 1182 on Exam B.a) What is the z-score of Exam A?

Suppose the scores on an exam are normally distributed with a mean μ = 75 points and standard deviation σ = 8 points.What is the exam score for an exam whose z-score is 1.25? 65 75 85 0.8944 0.1056

b) What is the z-score of Exam B?

Goran is in his first semester at a university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score, which was 66. Among all the students in the course, the mean of the exam was 63 with a standard deviation of 7.Find the z-score of Goran's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places.=z

What is the mean of the z-scores?Question 2Answera.0.5b.0c.1

Based on what you have studied in this unit, reflect and answer the following questions:What are the main characteristics of the normal distribution?Why is it advantageous to use the Z scores?For a standard normal distribution, about 68% of values falls within one standard deviation of the mean; about 95% falls within two standard deviations; and about 99.7% falls within three standard deviations. Suppose the distribution of math scores in the SAT follow a normal distribution with a mean µ=700 and a standard deviation σ=150.Calculate the Z-score for an SAT Math score of 600. Interpret it in your own word.Find the interval [a, b] that captures 68% of the SAT Math score in this example.Find the interval [a, b] that captures 95% of the SAT Math score in this example.Find the interval [a, b] that captures 99.7% of the SAT Math score in this example.