Exam 4: A Survey of Probability Concepts

The following distribution table represents preferences for two types of cereals by 2000 boys and girls. Determine the probability that the person is a boy, given that the person likes Fruity Cereal.

If two events are independent, then their joint probability is

i. A subjective probability can be assigned to an event by an individual based on the individual's knowledge about the event. ii. The probability that you would assign to the likelihood that the Hamilton Tiger Cats will be in the Grey Cup this season must be between 0 and 10. iii. A probability is a number from -1 to +1 inclusive that measures one's belief that an event resulting from an experiment will occur.

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, it had a winning season or attendance of more than 3.0 million?

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime and were over 40 years of age?

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

A study by Tourism Ontario revealed that 50% of the vacationers going to Toronto visit the CN Tower, 40% visit SkyDome and 35% visit both. What is the probability that a vacationer will visit at least one of these magnificent attractions?

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 2000 boys and girls. Find the probability that an individual selected at random will be a boy and prefer Fruity cereal.

A study was done of the 377 vehicles parked in the college parking lot last Friday. The results follow. What is the probability of finding a car that is not white?

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 study was done of the 377 vehicles parked in the college parking lot last Friday. The results follow. What is the probability of finding a red sports car?

A sales representative calls on four hospitals in York Region. It is immaterial what order he calls on them. How many ways can he organize his calls?

Which approach to probability is exemplified by the following formula?

i. An experiment is an activity that is either observed or measured. ii. If an experiment, such as a die-tossing experiment, has a set of events that includes every possible outcome, the set of events is called collectively exhaustive. iii. The combination formula is: n!/(n - r)!

There are two letters C and D. If repetitions such as CC are permitted, how many permutations are possible?

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime, given that they were between 20 and 40 years of age?

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 has a favourable forecast, what is the probability that it plans to cut jobs during the next 18 months?

What does equal?

When an experiment is conducted "without replacement",