Exam 4: A Survey of Probability Concepts

Considering the chart below, what is the probability that if you select one person at random that they committed a violent crime, given that they were under 20 years of age?

You have the assignment of designing colour codes for different parts. Three colours are to be used on each part, but a combination of three colours used for one part cannot be rearranged and used to identify a different part. This means that if green, yellow and violet were used to identify a camshaft, yellow, violet and green (or any other combination of these three colours) could not be used to identify a pinion gear. If there are 35 combinations, how many colours were available?

A study of the opinion of designers with respect to the primary colour most desirable for use in executive offices showed that: What is the probability that a designer does not prefer blue?

A group of employees of Unique Services is to be surveyed with respect to a new pension plan. In-depth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows. What is the probability that the first person selected is classified as a maintenance employee?

(i. A company has warehouses in four regions: South, Midwest, Rocky Mountain and Far West. One warehouse is to be selected at random to store a seldom-used item. The probability that the warehouse selected would be the one in the Far West region is 1/4 or 0.25. (ii) One card from a standard 52-card deck of cards is to be selected at random. The probability that it will be the jack of hearts is 1/52 or 0.0192. (iii) An activity that is measured or observed is called a(n) experiment.

A survey of top executives revealed that 35% of them regularly read Time magazine, 20% read Newsweek and 40% read Macleans & World Report. Ten percent read both Time and Macleans. What is the probability that a particular top executive reads either Time or Macleans regularly?

Type of Attack If two different subjects are randomly selected, find the probability that they were both robbed.

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. What is the probability that a randomly selected company plans to cut jobs during the next 18 months?

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table: What is the probability that the selected salesperson has below average sales ability and has a fair potential for advancement?

The customer service department of H&R Block received a total of 235 telephone requests for a tip-sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet. Suppose that a caller is selected at random. Find the probability that the caller selected heard about the report from the radio, assuming they are interested in personal tax.