Round to three decimal places.

1) In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 13 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health.

2) A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exactly 3 first serves in? Assume that each serve is independent of the others.

3) Find the standard deviation for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.

n = 39; p = 0.2

4) Find the mean, , for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.

n = 676; p = 0.7

5) Assume that X has a normal distribution, and find the indicated probability.

1.The mean is = 60.0 and the standard deviation is a = 4.0. Find the probability that X is less than 53.0.

Round to the nearest tenth unless indicated otherwise.

6) Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of

11.7. Find P81, which separates the bottom 80% from the top 20%.

7) The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

8) A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours.