Discuss the following:
Q: Foreign service employees receive housing allowances when posted abroad. These allowances average $30000 annually. Assume that a normal distribution applies and the standard deviation is $5000.
A) What is the probability that a diplomat will receive a housing allowance exceeding $35000?
B) What is the probability that a diplomat will receive a housing allowance between $27800 and $32200?
C) What percentage of employees will receive allowances between $25000 and $35000?