4. Determinedly dogmatic dog doc Desdemona does devotedly doting double duty during deep, dark, dry, dusty December desert days. Desdemona thinks the weights of the world population of dogs can be described by a Normal distribution with mean = 30kg and standard deviation = 8kg.

a. What are the probabilities that a dog weighs:

i. 20-35kg? ii. > 30kg? iii. More than 40kg?

b. For the distribution of dog weights, what are the:

i. 10th Percentile? ii. InterQuartile Range?