Exam 4: Probability

Consider the following sample space,S,and several events defined on it. S = {Albert,Betty,Abel,Jack,Patty,Meagan},and the events are: F = {Betty,Patty,Meagan},H = {Abel,Meagan},and P = {Betty,Abel}. The complement of F is ___________.

In a set of 12 aluminum castings,two castings are defective (D),and the remaining ten are good (G). A quality control inspector randomly selects three of the twelve castings with replacement,and classifies each as defective (D)or good (G). The sample space for this experiment contains __________ elementary events.

Your company provides services to three different industries: automotive,construction,and financial services.These services can be either on a yearly or on a monthly contract.The cross-tabulation table below summarizes this information: If a client is randomly selected,what is the likelihood that it will be from the financial industry or on a monthly contract?

Given P (A)= 0.45,P (B)= 0.30,P (A $\cap$ B)= 0.05.Find P (A|B).

Which of the following is a legitimate probability value?

Abel Alonzo,Director of Human Resources,is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively. A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(A $\cup$ F)= _____________.

If E and F are mutually exclusive,then _______.