Exam 4: A Survey of Probability Concepts

(i. A particular result of an experiment is called a(n) outcome. (ii) When the occurrence of one event does not affect the occurrence of the other event, the two events are dependent. (iii) If the order of a set of objects is important, it is called permutation.

(i. When the special rule of multiplication is used events A and B must be independent. (ii) A probability is subjective if it is based on a person's degree of belief and hunches that a particular event will happen. (iii) If there are five vacant parking places and five automobiles arrive at the same time, they can park in 120 different ways.

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 married if the customer is female.

Six basic colours are to be used in decorating a new condominium. They are to be applied to a unit in groups of four colours. One unit might have gold as the principal colour, blue as a complementary colour, red as the accent colour and touches of white. Another unit might have blue as the principal colour, white as the complimentary colour, gold as the accent colour and touches of red. If repetitions are permitted, how many different units can be decorated?

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 from this sample does not have a favourable outlook for the economy over the next 18 months?

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 an unfavourable outlook for the economy?

i. A probability is usually expressed as a decimal, such as 0.70 or 0.27, but it may be given as a fraction, such as 7/10 or 27/100. ii. The probability of 1 represents something that is certain to happen. iii. The probability of 0 represents something that cannot happen.

Information on the 30 Major League Baseball teams for the 2003 season has been summarized based on game attendance. What is the probability that if a team is selected at random had attendance of more than 3.0 million, that it had a winning season?

i. A coin is tossed four times. The probability is ¼ or 0.25 that all four tosses will result in a head face up. ii. A coin is tossed four times. The probability is 1/8 or 0.125 that all four tosses will result in a head face up. iii. If two events are mutually exclusive, then P(A or B) = P(A)P(B).

The National Centre for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?

Type of Attack What is the likelihood of a victim being attacked by a relative or acquaintance?

(i. A new computer game has been developed and its market potential is to be tested by 80 veteran game players. If sixty players liked the game, the probability that veteran game players will like the new computer game is 3/4 or 0.75. (ii) A probability that is based on someone's opinion, guess or hunch is joint. (iii) The probability that a one-spot or a two-spot or a six-spot will appear face up on the throw of one die is 1/2 or 0.5.

Type of Attack Given that an assault victim is selected, what is the likelihood that the criminal is a stranger?

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?

Type of Attack If one person is randomly selected, find the probability that they were victimized by a stranger.

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?

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?

(i. A new computer game has been developed and its market potential is to be tested by 80 veteran game players. If sixty players liked the game, the probability that veteran game players will like the new computer game is 3/4 or 0.75. (ii) A probability that is based on someone's opinion, guess or hunch is subjective. (iii) The probability that a one-spot or a two-spot or a six-spot will appear face up on the throw of one die is 1/2 or 0.5.

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 a salesperson selected at random has above average sales ability and is an excellent potential for advancement?

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 in management and in supervision?