SCENARIO 6-2 John Has Two Jobs. for Daytime Work at a Jewelry

Short Answer

SCENARIO 6-2
John has two jobs. For daytime work at a jewelry store he is paid $15,000 per month, plus a
commission. His monthly commission is normally distributed with mean $10,000 and standard
deviation $2000. At night he works occasionally as a waiter, for which his monthly income is
normally distributed with mean $1,000 and standard deviation $300. John's income levels from these
two sources are independent of each other.
-Referring to Scenario 6-2, for a given month, what is the probability that John's commission from
the jewelry store is at least than $12,000?