A study was conducted by the firm Coleman & Associates, Inc. to determine who curses at their computer. The results, which appeared in USA TODAY, indicated that 46% of people age 18-34 years have cursed at their computer. What are the odds against a randomly selected 18- to 34-year-old having cursed at his or her computer?

List two possible causes of Alzheimer disease.

A manufacturer of Blu-ray Discs (BDs) estimates the yearly demand for a BD to be 10,000. It costs $400 to set up the machinery to burn the BDs, plus$3 for each one produced. If it costs the company $2 to store a BD for a year, how many should be burned at a time and how many production runs will be needed to minimize costs?

Explain what is meant by a nonessential amino acid.

Find $f^{\prime}(x)$ by using the definition of the derivative. $f(x)=a x^{2}+b x+c$ (a, b, and c are constants)

Workers at a large toxic cleanup project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult. Then $\mu=7500$ and $\sigma \approx 1750$. A random sample of n=50 workers from the toxic cleanup site were given a blood test that showed $\bar{x}=6820$. What is the probability that, for healthy adults, $\bar{X}$ will be this low or lower? How does the central limit theorem apply? Explain.

Results of a poll of a random sample of 3003 American adults showed that 20% do not know that caffeine contributes to dehydration. The poll was conducted for the Nutrition Information Center and had a margin of error of $\pm 1.4 \%$. Does the margin of error take into account any problems with the wording of the survey question, interviewer errors, bias from sequence of questions, and so forth?

How is a primary condition different from a secondary condition?

For each function: a. Find the third Taylor polynomial at x = 0. b. Graph the original function and the Taylor polynomial together on the indicated window. $f(x)=e^{3 x}$ (for (b), use window [-1, 1] by [-1, 8])

Use Lagrange multipliers to optimize each function subject to the given constraint. (The stated extreme values do exist.) Minimize $f(x, y)=e^{x^{2}+y^{2}}$ subject to $x+2 y=15$.

The following table gives the maximum price of a Super Bowl ticket in 2014 and at preceding decades. Fit an exponential curve to the data and then use it to predict the minimum cost of a ticket in 2024.

$$\begin{matrix} \text{Year} & \text{x} & \text{Price}\\ \text{1994} & \text{1} & \text{175}\\ \text{2004} & \text{2} & \text{500}\\ \text{2014} & \text{3} & \text{2600}\\ \end{matrix}$$

If f(x) and g(x) have the same derivative, how are f(x) and g(x) related?

Three grades of jet fuel are blended to be used on long commercial flights. Each grade cost about the same and has about the same ignition or burn rate (gal/min) in a jet engine. The question is how to make the blend for the most consistent ignition rate. Assume the ignition rates of the three grades of fuel are statistically independent. (a) Write a brief explanation in which you discuss why consistent ignition rate is important. (b) Let $x_{1}, x_{2}, x_{3}$ be random variables representing ignition rate (gal/min) for the three grades of fuel. After extensive testing (flying under different conditions) the standard deviations are found to be $\sigma_{1}$=7, $\sigma_{2}$=12 and $\sigma_{3}$=15. Explain why a blend of approximately 64$\%$ grade 1 fuel with 22$\%$ grade 2 fuel and 14$\%$ grade 3 fuel would give the most consistent ignition rate. Use $c_{1}=0.64$, $c_{2}=0.22$ and $c_{3}=0.14$ to compute $\boldsymbol{\sigma}_{w}$ is less than each of $\sigma_{1}$, $\sigma_{2}$ and $\sigma_{3}$. Would you say the blended jet fuel has a more consistent ignition rate than each separate fuel? Explain.

At Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.5. Suppose you are going to dig up and examine 50 liters of sediment at this site. Let r=0, 1, 2, 3, . . . be a random variable that represents the number of prehistoric artifacts found in your 50 liters of sediment. Explain why the Poisson distribution would be a good choice for the probability distribution of r. What is $\lambda$? Write out the formula for the probability distribution of the random variable r.