Exam 4: A Survey of Probability Concepts

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.

The following distribution table represents preferences for two types of cereals by 2,000 boys and girls. Find the probability that a person prefers Fruity cereal given that the person is a boy.

When the occurrence of one event does not affect the occurrence of the other event, the two events are__________

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?

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 yellow?

The machine has just been filled with 50 black, 150 white, 100 red and 100 yellow gum balls that have been thoroughly mixed. Sue and Jim approached the machine first. They both said they wanted red gum balls. What is the likelihood they will get their wish?

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?

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 above average sales ability?

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 a fair potential for advancement, given that they have a below average ability?

Given the tree diagram below, what is the probability that your chosen meal includes chocolate cake?

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.

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.

You take a trip by air that involves three independent flights. If there is a 90 percent chance each specific leg of the trip is done on time, what is the probability all three flights arrive on time?

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?

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 will have average sales ability and good potential for advancement?

According to which classification or type of probability are the events equally likely?

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?

Given the tree diagram below, how many "meals" included vegetable lasagne?

A tire manufacturer advertises, "the median life of our new all-season radial tire is 120,000 kms. An immediate adjustment will be made on any tire that does not last 120,000 kms." You purchased four of these tires. What is the probability that all four tires will wear out before traveling 120,000 kms?

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 will have below average sales ability and fair potential for advancement?