4. Use the Standard Normal Distribution to answer the following question: As reported by the US National Center for Health Statistics, the mean serum high-density-lipoprotein (HDL) cholesterol of genetic females 20-29 years old is u = 53.0. The standard deviation is o = 12.0. Also, serum HDL cholesterol is normally distributed. (Statistics: Informed Decisions Using Data, Michael Sullivan, III) (3pt) a. If one 20-29 year old genetic female is randomly selected, what is the probability that their HDL cholesterol is less than or equal to 62? Calculate z-score and then use the z-value table for this question. H (2pt) b. If one 20-29 year old genetic female is randomly selected, what is the probability that their HDL cholesterol is between 40 and 60