Exam 4: A Survey of Probability Concepts

An activity that is measured or observed is called a(n)_____ .

An electronics firm manufactures three models of stereo receivers, two cassette decks, four speakers and three CD players. When the four types of components are sold together, they form a "system." How many different systems can the electronic firm offer?

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 or has a fair potential for advancement?

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 does not plan to add jobs during the next 18 months?

Type of Attack If one person is randomly selected, what is the likelihood that he or she was victimized by a stranger, given that a robbery victim is selected?

Consideration is being given to forming a Super Ten Basketball Conference. The top 10 university basketball teams in the country, based on past records, would be members of the Super Ten Conference. Each team would play every other team in the conference during the season and the Team winning the most games would be declared the national champion. How many games would the conference commissioner have to schedule each year? (Remember, McMaster versus Alberta is the same as Alberta versus McMaster.)

The following distribution table represents preferences for two types of cereals by 2,000 boys and girls. What is the probability that an individual, whether a boy or girl, prefers nutty cereal?

An insurance company has collected the following data on the gender and marital status of 400 customers. Suppose that a customer is selected at random. Find the probability that the customer selected is not single.

The numbers 0 through 9 are to be used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 2256, 2562 or 5559 would not be permitted. How many different code groups can be designed?

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?

When applying the special rule of addition for mutually exclusive events, the joint probability is:

There are 10 rolls of film in a box and 3 are defective. Two rolls are to be selected one after the other. What is the probability of selecting a defective roll followed by another defective roll?

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. Given that a randomly selected company plans to add jobs during the next 18 months, what is the probability that they have a favourable outlook for the economy?

Given the tree diagram below, how many "meals" included apple pie?

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

A visual means useful in calculating joint and conditional probability is

A board of directors consists of eight men and four women. A four-member search committee is to be chosen at random to recommend a new company president. What is the probability that all four members of the search committee will be women?

Given the tree diagram below, what is the probability that your chosen meal includes roast beef?

Type of Attack Find the probability that when 1 of the 2000 subjects is randomly selected, the person chosen was robbed or was victimized by an acquaintance or relative.

i. The probability of an event, based on a classical approach, is defined as the number of favourable outcomes divided by the total number of possible outcomes. Ii) If among several events only one can occur at a time, we refer to these events as being mutually exclusive events. Iii) The probability of rolling a 3 or 2 on a single die is an example of conditional probability.