Exam 5: Probability

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly. What is the probability that a randomly selected student is overweight given that this student exercises regularly?

Max Sandlin is exploring the characteristics of stock market investors. He found that sixty percent of all investors have a net worth exceeding $1,000,000; 20% of all investors use an online brokerage; and 10% of all investors a have net worth exceeding $1,000,000 and use an online brokerage. An investor is selected randomly, and E is the event "net worth exceeds $1, 000, 000," and O is the event "uses an online brokerage." P(O|E) = ___.

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?

What are the three methods of assigning probabilities?

The method of assigning probabilities to uncertain outcomes based on laws and rules is called the relative frequency method.

The probability of A or B where A is receiving a state grant and B is receiving a federal grant is the probability of receiving no more than one of the two grants.

The department in which you work in your company has 24 employees: 10 women and 14 men. A team of 4 employees must be selected to represent the department at a companywide meeting in the headquarters of the company. The team must have two women and two men. How many different teams of 4 can be selected?

The department in which you work in your company has 24 employees: 10 women and 14 men. A team of anywhere from one employee up to 9 employees must be chose to attend a meeting at the company's headquarters. How many different teams can be selected?

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly. What is the probability that a randomly selected student is either overweight or exercises regularly or both?

Given P(A) = 0.45, P(B) = 0.30, P(A and B) = 0.05. Find P(B|A).

If X and Y are mutually exclusive events, then if X occurs ___.

Given P(A) = 0.40, P(B) = 0.50, P(A and B) = 0.15. Find P(A or B).

The department in which you work in your company has 24 employees. A team of 3 employees must be selected to represent the department at a companywide meeting in the headquarters of the company. How many different teams of 3 can be selected?

The department in which you work in your company has 24 employees. A team of 3 employees must be selected to represent the department at a companywide meeting in the headquarters of the company. How many different teams of 3 can be selected?

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.

If the occurrence of one event precludes the occurrence of another event, then the two events are mutually exclusive.

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}. F and H is ___.

Max Sandlin is exploring the characteristics of stock market investors. He found that sixty percent of all investors have a net worth exceeding $1,000,000; 20% of all investors use an online brokerage; and 10% of all investors a have net worth exceeding $1,000,000 and use an online brokerage. An investor is selected randomly, and E is the event "net worth exceeds $1,000,000" and O is the event "uses an online brokerage." P(O or E) = ___.

The list of all elementary events for an experiment is called the sample space.

Which of the following is $\textbf{ not }$ a legitimate probability value?