A certain class of students takes a standardized test where each students score is modeled as a random variable with mean, = 85, and

A certain class of students takes a standardized test where each student’s score is modeled as a random variable with mean, μ = 85, and standard deviation, σ = 5. The school will be put on probationary status if the class average falls below 75. If there are 100 students in the class, use the central limit theorem to approximate the probability that the class average falls below 75.