Suppose that, in a particular city, airport A handles 50% of all airline traffic, and airports B and C handle 30% and 20%, respectively. The detection rates for weapons at the three airports are .9, .8, and .85, respectively. If a passenger at one of the airports is found to be carrying a weapon through the boarding gate, what is the probability that the passenger is using airport A? Airport C?

A uniform, $4.5$-$\mathrm{kg}$, square, solid wooden gate $1.5$ m on each side hangs vertically from a frictionless pivot at the center of its upper edge. A $1.1$-$\mathrm{kg}$ raven flying horizontally at $5.0$ m$/$s flies into this door at its center and bounces back at $2.0$ m$/$s in the opposite direction./ (b) During the collision, why is the angular momentum conserved but not the linear momentum?

A fleet of nine taxis is to be dispatched to three airports in such a way that four go airport $A$, three go to airport $B$ and two go to airport $C$. Assume that taxis are allocated to airports at random.

What is the likelihood of a randomly selected taxi being dispatched to airport $C$ ?

Find a minimum two-level, multiple-output AND-OR gate circuit to realize these functions (eight gates minimum).

$$\begin{array}{l} f_{1}(a, b, c, d)=\Sigma m(10,11,12,15)+\Sigma d(4,8,14) \\ f_{2}(a, b, c, d)=\Sigma m(0,4,8,9)+\Sigma d(1,10,12) \\ f_{3}(a, b, c, d)=\Sigma m(4,11,13,14,15)+\Sigma d(5,9,12) \end{array}$$

Find the one false statement in the following choices. Choose T if the statement is True. Choose F if the statement is False. LO 8.18, 8.A

High levels of immunoglobulins are in breast milk. T F

Name the first three trophic levels. Among the consumers, which are most abundant? Use the "10% law" to explain why you would predict that there will be greater biomass of plants than herbivores in an ecosystem.

Suppose that for a sample of $n=11$ measurements, we find that $\bar{x}=72$ and $s=5$. Assuming normality, compute confidence intervals for the population mean $\mu$ with the following levels of confidence:

$$95\%$$

The sentence contains two personal pronouns in parentheses. Underline the pronoun that correctly completes the sentence. Then, on the line provided, write S if the pronoun is a subject or PN if it is a predicate nominative. Example $\underline{\text{PN}}$ 1. I believe the man you’re looking for is (him, $\underline{\text{he}}$).

______ (We, Us) left the gate unlocked.

A solid cylinder is released from rest and rolls without slipping down a $4.0^{\circ}$ incline. Two photogates are connected to a timer that measures the elapsed time for the ball to roll between them. If the first gate is $1.00 \mathrm{~m}$ from the starting point and the second is $0.20 \mathrm{~m}$ past the first, what will the timer read?

The NMOS transistors in the circuit of Fig. P5.50 have $V_i=0.5 \mathrm{~V}, \mu_{\mathrm{n}} C_{\mathrm{ex}}=250 \mu \mathrm{A} / \mathrm{V}^2, \lambda=0$, and $L_1=L_2=$ $0.25 \mu \mathrm{m}$. Find the required values of gate width for each of $Q_1$ and $Q_2$, and the value of $R$, to obtain the voltage and current values indicated.

Eight randomly selected batches of a chemical were tested for impurity concentration. The percentage impurity levels found in this sample were as follows:

$$\begin{array}{llllllll} 3.2 & 4.3 & 2.1 & 2.8 & 3.2 & 3.6 & 4.0 & 3.8 \end{array}$$

a. Find the most efficient estimates of the population mean and variance.

b. Estimate the proportion of batches with impurity levels greater than 3.75%

Suppose that, for a sample of size $n=100$ measurements, we find that $\bar{x}=50$. Assuming that $\sigma$ equals $2$, calculate confidence intervals for the population mean $\mu$ with the following confidence levels:

$$80\%$$

The NMOS transistors in the circuit of Fig. P5.51 have $V_t=1 \mathrm{~V}, \mu_n C_{a x}=120 \mu \mathrm{A} / \mathrm{V}^2, \lambda=0$, and $L_1=L_2=L_3=$ $1 \mu \mathrm{m}$. Find the required values of gate width for each of $Q_1$, $Q_2$, and $Q_3$ to obtain the voltage and current values indicated.

A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use $\alpha=.01$.

$$\begin{array}{lcccccccc} \hline & \text { Truck 1 } & \text { Truck 2 } & \text { Truck 3 } & \text { Truck 4 } & \text { Truck 5 } & \text { Truck 6 } & \text { Truck 7 } & \text { Truck 8 } \\ \hline \text { Entry failures } & 43 & 45 & 53 & 56 & 61 & 51 & 48 & 44 \\ \text { Exit failures } & 48 & 51 & 60 & 58 & 58 & 45 & 55 & 50 \\ \hline \end{array}$$