1) Random variable X is normally distributed with a mean of 10 and standart deviation of 0.6. Calculate the z-score for x=7.4. 2) Random variable X is uniformly distributed between 5 and 15. Calculate the standard deviation. 3) Professor Dumb Memorial Scolarship is awarded to top 5% of students in all the universities of Neverland. Assume that scores are normally distributed with a mean of 86 and the standard deviation of 3.5. What is the minimum score to get the scolarship? Hint: use the Z table. You might need to average two z-scores to have a z- score forsdesired percentage. Round your answer to the nearest integer.