Suppose Colleen works two jobs. At job A, Colleen’s monthly earnings can be described by the distribution N(2100, 200) and at job B, her monthly earnings can be described by the distribution N(550, 70). Assuming that her earnings are independent,


1) What is the mean and standard deviation of the TOTAL amount of money she earns in a month? (this will use knowledge from prior units)

2) What is the probability that she earns more than $2750 in a given month?