Consider the body temperature of healthy adults as approximately normally distributed with a mean of 37 degrees Celsius, and standard deviation 0.45 degrees Celsius. A temperature of 38 degrees Celsius or above is considered to be a clinically significant fever.

a) How many standard deviations is 38 degrees Celsius away from the mean? Ensure you show some working, not simply the resultant number.

b) What is the probability of a randomly selected person having a clinically significant fever? Ensure you state the probability using mathematical notation and defining the random variable. Show your calculations and include screenshots if using the online resource StatStar