1. Which one of the following is Not an assumption of the binomial distribution?

• The probability of the success, p, is constant.
• The probability of the success is equal to 0.5 in all trials.
• There are two possible outcome (success and failure).
• There are a fix number of trials.

2. Is the binomial distribution appropriate for the following situation?
Joe buys a ticket in his state’s “Pick 3” lottery game every week; X is the number of times in a year that he wins a prize.

• Yes
• No
• Cannot be determined from the given information

3. Five percent of the eyeglasses sold at an optical retailer have tinted lenses. Forty pairs of glasses are sold on a particular day and six have tinted lenses. Identify n, p, and x.

n =_______________

p =________________

x =_________________

4. Only 35% of the drivers in a particular city wear seat belts. Suppose that 20 drivers are stopped at random what is the probability that exactly four are wearing a seatbelt? (Round your answer to 4 decimal places)

_________________

5. In a certain college, 33% of the physics majors belong to ethnic minorities. If 8 students are selected at random from the physics majors, what is the probability that more than 5 belong to an ethnic minority?

• 0.0846
• 0.9154
• 0.0187
• 0.0659

6. A laboratory worker finds that 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the mean number that test positive for the HIV virus? (Round your answer to 1 decimal places)

________________

7. A laboratory worker finds that 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the standard deviation of the number of people that test positive for the HIV virus? (Round your answer to 1 decimal places)

_________________

8. A newborn baby whose Apgar score is over 6 is classified as normal and this happens in 80% of births. As a quality control check, an auditor examined the records of 100 births. He would be suspicious if the number of normal births in the sample of 100 births fell above the upper limit of a "95%-normal-range". What is this lower limit?

• 64
• 76
• 48
• 72