Apolitical action group is planning to interview home owners to assess the impact caused by a recent slump in housing prices. According to a Wall Street Journal/Harris Interactive Personal Finance poll, 26% of individuals aged 18–34, 50% of individuals aged 35–44, and 88% of individuals aged 55 and over are home owners (All Business website, January 23, 2008). a. How many people from the 18–34 age group must be sampled to find an expected number of at least 20 home owners? b. How many people from the 35–44 age group must be sampled to find an expected number of at least 20 home owners? c. How many people from the 55 and over age group must be sampled to find an expected number of at least 20 home owners? d. If the number of 18–34 year olds sampled is equal to the value identified in part (a), what is the standard deviation of the number who will be home owners? e. If the number of 35–44 year olds sampled is equal to the value identified in part (b), what is the standard deviation of the number who will be home owners?

A survey showed that the average commuter spends about 26 minutes on a one-way doorto- door trip from home to work. In addition, 5% of commuters reported a one-way commute of more than one hour (Bureau of Transportation Statistics website, January 12, 2004).

If 20 commuters are surveyed on a particular day, what is the probability that three will report a one-way commute of more than one hour?

Write the equation in logarithmic form. $11^{-3}=\frac{1}{1331}$________

Use a simulation with 10 trials to find an estimate for the probability. In 5 tosses of a coin, tails appears more than 2 times.

$$\begin{matrix} \text{Trial} & \text{Result}\\ \text{1}\\ \text{2}\\ \text{3}\\ \text{4}\\ \text{5}\\ \text{6}\\ \text{7}\\ \text{8}\\ \text{9}\\ \text{10}\\ \end{matrix}$$

estimate: ______

Explain why the net yield of ATP molecules in glycolysis is two, even though four ATP molecules are produced.

Determine the shear strain $\gamma_{x y}$ at corners $D$ and $C$ if the plastic distorts as shown by the dashed lines.

Let $l _ { 1 }$ be the line passing through the points S and T and $l _ { 2 }$ the line passing through the points O and P. In each case, find a. d{S, T) and d(O, P). b. slope $m _ { 1 }$ of $I _ { 1 }$ and $m _ { 2 }$ of $I _ { 2 }$ c. Are $l _ { 1 }$ and $l _ { 2 }$ parallel, perpendicular, or neither? $S = ( - 1,2 ) , T = ( - 2,1 ) \ O = ( 0,0 ) , P = ( 1 , - 1 )$

A survey showed that the average commuter spends about 26 minutes on a one-way door-to- door trip from home to work. In addition, 5% of commuters reported a one-way commute of more than one hour (Bureau of Transportation Statistics website, January 12, 2004).

If a company has 2000 employees, what is the variance and standard deviation of the number of employees that have a one-way commute of more than one hour?

Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experiment. The outcome for each component tested (trial) will be that the component is classified as good or defective. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 1%. Suppose a random sample of five items from a recent shipment is tested. Assume that 1% of the shipment is defective. Compute the probability that no items in the sample are defective.

The American Association of Individual Investors publishes an annual guide to the top mutual funds (The Individual Investor’s Guide to the Top Mutual Funds, 22e, American Association of Individual Investors, 2003). The total risk ratings for 29 categories of mutual funds are as follows.

$$\begin{matrix} \text{ } & \text{Number of Fund}\\ \text{Total Risk} & \text{Categories}\\ \text{Low} & \text{7}\\ \text{Below Average} & \text{6}\\ \text{Average} & \text{3}\\ \text{Above Average} & \text{6}\\ \text{High} & \text{7}\\ \end{matrix}$$

Let x = 1 for low risk up through x = 5 for high risk, and develop a probability distribution for level of risk.

Solve each equation. 3b = 4/7

Companies such as GE that have huge amounts of cash flow every day base their financial calculations on continuous compounding. If the company wants to make an effective 25% per year, compounded continuously, what nominal daily rate of return has to be realized? Assume 365 days per year.

The budgeting process for a midwestern college resulted in expense forecasts for the coming year (in $millions) of$9, $10,$11, $12, and$13. Because the actual expenses are unknown, the following respective probabilities are assigned: .3, .2, .25, .05, and .2.

Show the probability distribution for the expense forecast.

Your friend says that it is easy to travel faster than the speed of light; you just need to find the right observer. Give physics-based reasons for why your friend would have such an idea. Then explain whether you agree or disagree with him.