The Bio Pharm company has developed a stress test for college-aged students. Scores on the stress test for such students are approximately normally distributed with a mean of 55 points and a standard deviation of 2 points. Scores of 58 points or higher indicate a high level of stress and are of concern to doctors. A random sample of college-aged students will be selected, and each will be given this stress test. Answer the following questions based on the information given.(a) What is the probability that the score for the first randomly selected student will be at least 58 points? (show your work)(b) Given that the first randomly selected student has a score of at least 58 points, what is the probability that the next randomly selected student scores below 58 points? (show your work) (c) For each randomly selected sample of six college-aged students variable Y yields the number of students in the sample with a high level of stress (a score of at least 58 points.) What kind of a variable is Y? (clearly circle your answer) A) Normal variable with a mean of 55 and a standard deviation of 2. B) Normal variable with a mean of 55 and standard deviation of 12 (6 students times 2).