8. (20 points) High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8. a. What is the probability of HDL exceeding 60 in healthy? b. What is the probability of HDL being lower than 40 for healthy males? 0. What is the probability of healthy males having HDL between 40 and 60"? d. What is the 90th percentile value for HDL in healthy males? e. If a sample of 15 participants are evaluated, what is the probability that their mean HDL exceeds 55