1.Peter applied for a job at an accounting firm and a consulting firm. He knows that 50% of similarly qualified applicants receive job offers from the accounting firm; only 40% of similarly qualified applicants receive job offers from the consulting firmPeter also knows that 60% of similarly qualified applicants receive an offer from one firm or the other.

Hints:A=accounting firm offer, B=consulting firm offer

What is the probability of an offer from the accounting firm if the consulting firm already gave an offer?

Is there independence, a positive influence, or negative influence?How do you know?

2.Bob owns a used car lot.70% of the cars have air conditioners, 40% of the cars have good tires, and 90% of the cars have air conditioners OR good tires.

Given that a car has air conditioning, what is the probability that it also has good tires?

Given that a car has good tires, what is the probability that it also has air conditioning?

3. Assume you applied for two grants:a government grant (A) and a private grant (B).The probability that you receive the private grant is 0.18.The probability of receiving both grants is 0.11.The probability of getting at least one of the grants is 0.3.

What is the probability of receiving the private grant given that you have already been awarded the government grant?

What is the probability of receiving the government grant given that you have already been awarded the private grant?

4.A survey from a marketing communications firm asked individuals to indicate types of businesses desired within walking distance of their rental apartment.Based on the survey results, there is a 0.39 probability for a coffee shop, 0.27 probability for a convenience store.There is a 0.12 probability that both are desired.

What is the probability that an individual would desire either a coffee shop or a convenience store?

5.Select a committee of 3 people from your staff of 9.How many different ways can this be accomplished?

Select a committee of 3 people from your staff of 9.How many different ways can this be accomplished when one person will be the lead, one will be the record keeper, and one will be the researcher?