The Amount of Money That Maria Earns in a Week $\text { M-E }$

Multiple Choice

The amount of money that Maria earns in a week is a random variable with a mean of $930 and a standard deviation of $30.The amount of money that Elena earns in a week is a random variable with a mean of $780 and a standard deviation of $15.If the difference between Maria's weekly income and Elena's weekly income can be described be a Normal model,what is the probability that Maria's weekly income is at least $223.79 more than Elena's weekly income? (In other words,what is the probability that the difference $\text { M-E }$ is at least $223.79?) Assume that Maria's earnings are independent of Elena's earnings.

A) 0.018
B) 0.986
C) 0.011
D) 0.982
E) 0.014