Check the problem and identify if there is an error in the solution. There is a chance the solution may be correct. Calculator is allowed. 9a) At Statistics High School, all classes have exactly 10 students. The probability that a single student fails a classis 0.03, independent of all other students and classes. In a randomly selected class, find the probability that at leastthree students fail that class.Solution?Let X be the number of failing students in a class.X-B(10,.03)Using normalcdf, we find the probability is approximately 0.0027659b) The principal at Statistics High School follows this procedure to check the quality of their teachers: A class of10 students is selected randomly. If the class contains at least three failing students, then another class taught bythat teacher is selected. If that class contains at least three failing students, then the teacher must have a meetingwith the academic dean; otherwise, the teacher's record is cleared. Assuming that each teacher's classes areindependent of each other, find the probability that a teacher must have a meeting with the academic dean.Solution? (Note: the answer from 9a is used. Assume that it is correct in your analysis of this problem.)P([2 3 fail in the first] n [2 3 fail in the second]) = P(2 3 fail in the first) x P(2 3 fail in the second)The probability of at least three students failing in any given class is the same, approximately 0.002765The overall probability is therefore approximately (0.002765)² × 0.00000765

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9a) At Statistics High School, all classes have exactly 10 students. The probability that a single student fails a class is 0.03, independent of all other students and classes. In a randomly selected class, find the probability that at least three students fail that class. Solution? Let X be the number of failing students in a class. X~B(10,.03) Using normalcdf, we find the probability is approximately 0.002765