If Z follows a standard normal distribution, determine the cutoff score if P( Z < a ) = 0.575. Draw a density curve that represents this information and use the calculator to determine the answer. Write the calculator function

Graduate Management Aptitude Test (GMAT) scores are widely used by graduate schools of business as an entrance requirement. Let the random variable X represent the score on the GMAT and follow a normal distribution with a mean score of 548, standard deviation of 105. What is the probability of getting a score of more than 500? Use the calculator to determine the probability

Graduate Management Aptitude Test (GMAT) scores are widely used by graduate schools of business as an entrance requirement. Let the random variable X represent the score on the GMAT and follow a normal distribution with a mean score of 548, standard deviation of 105. It is reported that the minimum score for admittance to a prestigious business school is scoring in the 96th Percentile. Determine the minimum score on the GMAT of someone who was admitted to this school. Use the calculator to determine the answer. Write the calculator function