5. Utility Bills The monthly utility bills in a city are normally distributed and represented by the variable X, with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is (a) less than $70, (2 points) (b) between $90 and $120, (2 points) (c) more than $140. (2 points) Hint: Convert the normal distribution X to Standard normal using Z formula Z = - X-H and then look the Z-values from the table and then find the probability