1- According to the classical definition of probability

• All the outcomes of an experiment are equally likely.
• Some outcomes are more likely than others.
• The probability of an event is the number of successes divided by the number of failures.
• All possible events are independent.

2- Which formula represents the probability of the complement of eventA?

1+P(A)

1-P(A)

P(A)

P(A)-1

3- A basket contains twenty apples: 6 red,7 green and therest are yellow. Four apples are extracted. What is the probability that there will be 4 red apples? (Round the answer to three decimal places if needed.)

4- A company is creating three new divisions and 19 managers are eligible to be appointed head of a division. How many different ways could the three new heads be appointed?

5- 44 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 14 cash register receipts is selected. What is the probability that atleast one receipt will show that the above three food items were ordered? (Round the result to five decimal places if needed.)

6- A study by the National Park Service revealed that 58 percent of vacationers going to the Rocky Mountain region visit AAA National Park, 45 percent visit BBB National, and 29 percent visit both.What is the probability a vacationer will neither visit AAA National Park nor BBB National Park? (Round to two decimal places as needed).

7- A study of 225 graduates of colleges revealed the mean amount owed by a student was $38,961. The population standard deviation was $1,882. Find the left end of the 75% confidence interval for the population mean. (Round the answer to two decimal places if needed).

8- Two mutually exclusive events cannot be dependent.

True

False

9-The owner of a small convenience store is trying to decide whether to discontinue selling magazines. He suspects that only 15% of the customers buy magazines and thinks that he might be able to sell something more profitable. Before making a final decision, he keeps track of the number of customers who buy magazines on a given day. On one day he had 400 customers. Assuming this day was typical, what would be the mean and standard deviation of the number of customers who buy magazines each day?

• standard deviation = 7.14
• mean = 60
• mean = 15
• standard deviation = 51

10- The average weight of a package in a post office is 8 pounds with a standard deviation of 2.1 pounds. According to Chebyshev's Theorem, at least what percent of the packages weight between 5 and 11 pounds? Round the result to integer number.

11- A new sports car model has defective brakes 6 percent of the time and a defective steering mechanism 2 percent of the time. Let's assume (and hope) that these problems occur independently. If one or the other of these problems is present, the car is called a "lemon." If both of these problems are present, the car is a "hazard." Your instructor purchased one of these cars yesterday. What is the probability it is a "lemon?". (Round to three decimal places as needed).