Question: Basic Probability

1. A purchasing agent for a trucking company is shopping for replacement tires for their trucks from two suppliers. The suppliers' prices are the same. However, Supplier A's tires have an average life of 60,000 miles with a standard deviation of 10,000 miles. Supplier B's tires have an average life of 60,000 miles with a standard deviation of 2,000 miles.

Which of the following statements is true?

1. The two distributions of tire life are the same
2. On average, Supplier A's tires have a longer life then Supplier B's tires
3. The life of Supplier B's tire is more predictable than the life of Supplier A's tires
4. The dispersion of Supplier A's tire life is less than the dispersion of Supplier B's tire life
   B) There are 16 rolls of film in a box and 2 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?
   C) A local company has eight sales people, and they have decided to send three of these people to Seattle for a trade show.
   1. How many teams of three are possible?
   2. The Sales Manager decides to give a specific assignment to each attendee: presenter, booth manager, and competitive data collector. Now how many teams of three are possible?

NOTE: Review Combinations and Permutations

D) Consumers in the Northwest were surveyed on how often they visited a Best Buy store, and where the store was located. The results were that out of 80 consumers who often visited a Best Buy, 60 of them did so at a close by mall, and the others did not. Of the 55 who never visited a Best Buy, only 5 lived close to a mall, and the others did not. Of those who occasionally visited a Best Buy, 25 did so at a close by mall, and 35 did not. What is the probability that a randomly selected consumer:

a. occasionally visited a Best Buy at a nearby mall?

b. For convenience, suppose this consumer will only shop at a nearby mall. What is the likelihood she will often shop at Best Buy?

E) One-fourth of the residences of the Ridge Estates leave their garage door open when they are away from home. The local chief of police estimates that ten percent of the garages with an open door will have something stolen, but only one percent of those with closed doors will have something stolen.

a. If a garage is robbed, what is the likelihood the garage door was left open?

b. If no robbery occurs, what is the probability the garage door was closed?

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document