If the occurrence or non occurrence of one event does not affect the occurrence or non occurrence of another event, the two events are ________________________. collectively exhaustive non interacting mutually exclusive independen t complementary __________________________________________________________________________ How many elementary events are in the sample space of the experiment of rolling a pair of 6faced dice? 0 6 12 36 __________________________________________________________________________ Sixty percent of all technical assistants would like to have a PC. Fifty percent of all technical assistants would like to have MAC. Twenty percent of all technical assistants would like to have both. If a technical assistant is randomly selected, what is the probability that she would like to have a PC or a MAC? 0.33 1.00 1.10 0.90 0.95 __________________________________________________________________________ Belinda Bose is reviewing a newly proposed advertising campaign. Based on her 15 years experience, she believes the campaign has a 75% chance of significantly increasing brand name recognition of the product. This is an example of assigning probabilities using the ________________ method. subjective probability relative frequency classical probability a priori probability a posterior probability __________________________________________________________________________ Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. A student is randomly selected, and it is found that the student is enrolled in accounting. What is the probability that this student is also enrolled in statistics? 0.15 0.75 0.375 0.50 0.80 __________________________________________________________________________ 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) = _____________. 0.17 0.50 0.80 0.70 0.10 __________________________________________________________________________ Meagan Dubean manages a portfolio of 200 common stocks. Her staff classified the portfolio stocks by 'industry sector' and 'investment objective.' Investment Objective Industry Sector Electronics Airlines Healthcare Total Growth 100 10 40 150 Income 20 20 10 50 Total 120 30 50 200 If a stock is selected randomly from Meagan's portfolio, P (Growth) = _______. 0.50 0.83 0.67 0.75 0.90 __________________________________________________________________________ The number of different committees of 2 students that can be chosen from a group of 5 students is 20 2 5 10 1 __________________________________________________________________________ Suppose that 5% of all TVs made by some Company in 2010 are defective. If 2 of these TVs are randomly selected what is the probability that both are defective? 0.95 0.0025 0.9025 0.0475 0.1 __________________________________________________________________________ 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? 0.40 0.38 0.20 0.42 0.10 __________________________________________________________________________ An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased. Based on the joint probability table below that was developed from the dealer's records for the previous year, P (Female SUV) = _______. Type of Vehicle Buyer Gender Female Male Total SUV Not SUV Total .30 .40 .60 1.00 0.30 0.40 0.12 0.10 0.60 __________________________________________________________________________ Bayes' rule is used to revise the initial or prior probabilities based on new information and convert them into __________. certaintie s joint probabilities subjective probabilities posterior probabilities __________________________________________________________________________ The speed at which a jet plane can fly is an example of _________. neither discrete nor continuous random variable both discrete and continuous random variable a continuous random variable a discrete random variable a constant