Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

$$\begin{matrix} \text{ } & \text{McDonald's} & \text{Burger King} & \text{Wendy's} & \text{Taco Bell}\\ \text{Order Accurate} & \text{329} & \text{264} & \text{249} & \text{145}\\ \text{Order Not Accurate} & \text{33} & \text{54} & \text{31} & \text{13}\\ \end{matrix}$$

				 If two orders are selected, find the probability that they

are both from Burger King. Assume that the selections are made with replacement. Are the events independent?

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

$$\begin{matrix} \text{ } & \text{McDonald's} & \text{Burger King} & \text{Wendy's} & \text{Taco Bell}\\ \text{Order Accurate} & \text{329} & \text{264} & \text{249} & \text{145}\\ \text{Order Not Accurate} & \text{33} & \text{54} & \text{31} & \text{13}\\ \end{matrix}$$

				If two orders are selected, find the probability that they

are both accurate. Assume that the selections are made without replacement. Are the events independent?

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

$$\begin{matrix} \text{ } & \text{McDonald's} & \text{Burger King} & \text{Wendy's} & \text{Taco Bell}\\ \text{Order Accurate} & \text{329} & \text{264} & \text{249} & \text{145}\\ \text{Order Not Accurate} & \text{33} & \text{54} & \text{31} & \text{13}\\ \end{matrix}$$

			If two orders are selected, find the probability that both

of them are not accurate. Assume that the selections are made without replacement. Are the events independent?

Let f be a continuous function for which f(-2)=1 and f(5)=-3. The function g is also continuous and $g(x)=f^{-1}(x)$ for all x. The Intermediate Value Theorem guarantees that (A) g(c)=2 for at least one c between -3 and 1. (B) g(c)=0 for at least one c between -2 and 5. (C) f(c)=0 for at least one c between -3 and 1. (D) f(c)=2 for at least one c between -2 and 5.

Three of the richest comedians in the United States are Larry David (creator of Seinfeld), Matt Groening (creator of The Simpsons), and Trey Parker (co-creator of South Park). Larry David is worth $\$ 450$ million more than Trey Parker. Matt Groening is worth $\$ 150$ million more than Trey Parker. Combined, the net worth of these three comedians is $\$ 1650$ million (or $\$ 16.5$ billion). Determine how much, in millions of dollars, each of these comedians is worth.

Strontium- 90 is a dangerous radioactive substance found in acid rain. As such it can make its way into the food chain by polluting the grass in a pasture on which milk cows graze. The half-life of strontium-90 is 29 years.

(a) Find an exponential model (3) for the amount remaining after $t$ years.

(b) Suppose a pasture is found to contain Str-90 that is 3 times a safe level $A_0$. How long will it be before the pasture can be used again for grazing cows?

Each of the eight possible blood types is listed in the table below along with the percent of the U.S. population having that type.

$$\begin{array}{l|l} \hline \text{ O Positive - } 39\% & \text{ A Negative - } 6\% \\ \hline \text{ A Positive - } 31\% & \text{ AB Positive - } 3\% \\ \hline \text{ B Positive - } 9\% & \text{ B Negative - } 2\% \\ \hline \text{ O Negative - } 9\% & \text{ AB Negative - } 1\% \\ \hline \end{array}$$

What is the probability a randomly selected person has a blood type that contains both the A and the B antigens?

A bit (meaning binary digit) is 0 or 1. An ordered array of eight bits (such as 01101001) is a byte. How many different bytes are there? If you select a byte at random, what is the probability that you select 11000010? What is the probability that you select a byte containing three 1’s and five 0’s?

Perform the indicated operations. Write your answers with only positive exponents. Assume that all variables represent positive real numbers.

$$\left(\frac{p^{-1}}{q^{-5}}\right)^{-2}$$

Double positive charge. In Fig. 22.3.2, let both charges be positive with the same magnitude. Assuming $z>d$, show that the electric field at point $P$ is given by

$$E=\frac{1}{4 \pi \varepsilon_0} \frac{2 q}{z^2} .$$

The intensity, I, of light, in watts per square metre ($\mathrm{W} / \mathrm{m}^{2}$), at a distance, d, in metres, from the point source is given by the formula $I=\frac{P}{4 \pi d^{2}}$, where P is the average power of the source, in watts. How far away from a 500-W light source is intensity $\mathrm{W} / \mathrm{m}^{2}$?

Use the information in the table to answer each question.

(f) Sketch a graph of the equation you wrote in part (e).

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Find the median of the random variable with the probability density function $f(x)=3 e^{-3 x}$ on $[0, \infty)$ .