The waiting time until service at a hospital emergency department is modeled with the pdf $f (x) = \frac{1}{9} x \quad 0<x<3$ hours and $f (x) = \frac{2}{3}-\frac{1}{9} x \quad 3<x<6.$ Determine the following: (a) Probability the wait is less than 4 hours (b) Probability the wait is more than 5 hours (c) Probability the wait is less than or equal to 30 minutes (d) Waiting time that is exceeded by only 10% of patients (e) Mean waiting time

A hospital is trying to cut down on emergency room wait times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed 70 patients. The sample mean was 1.5 hours with a sample standard deviation of 0.5 hours. Explain in complete sentences what the confidence interval means.

The waiting time for service at a hospital emergency department (in hours) follows a distribution with probability density function f(x) = 0.5 exp(-0.5x) for 0 < x. Determine the following: a. P(X < 0.5) b. P(X > 2) c. Value x (in hours) exceeded with probability 0.05.

The probability density function of the time a customer arrives at a terminal (in minutes after 8:00 A.M.) is $f(x)=0.1 e^{-x / 10} \text { for } x>0$ Determine the probability that (a) The customer arrives by 9:00 A.M. (b) The customer arrives between 8:15 A.M. and 8:30 A.M. (c) Determine the time at which the probability of an earlier arrival is 0.5. (d) Determine the cumulative distribution function and use the cumulative distribution function to determine the probability that the customer arrives between 8:15 A.M. and 8:30 A.M. (e) Determine the mean and standard deviation of the number of minutes until the customer arrives.

You are driving a car when a deer suddenly darts across the road in front of you. Your brain registers the emergency and sends a signal to your foot to hit the brake. The car travels a reaction distance D, in feet, during this time, where D is a function of the speed r, in miles per hour, that the car is traveling when you see the deer, given by $D(r)=\frac{11 r+5}{10}.$ Find the inverse and explain what it represents. Is the inverse a function?

Evaluate the expression to complete the table. "

$$\begin{matrix} & \text{Mammals with the Longest Tails}\\ \text{Mammal} & \text{Expression} & \text{Tail Length}\\ \text{African buffalo} & \mathrm{51 + 6 ^ { 2 } \div 9 - 12} & \text{\_\_\_\_\_}\\ \end{matrix}$$

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Just an instant before reaching the very bottom of a semicircular section of a roller coaster ride, the automatic emergency brake inadvertently goes on. Assume the car has a total mass of 750 kg, the radius of that section of the track is 55.0 m, and the car entered the bottom after descending vertically (from rest) 25.0 m on a frictionless straight incline. If the braking force is a steady 1700 N, determine (a) the car's centripetal acceleration (including direction), (b) the normal force of the track on the car, (c) the tangential acceleration of the car (including direction), and (d) the total acceleration of the car.

While playing on her swing set, 10-year-old Yasmin falls and breaks her right leg. At the emergency room, the physician tells Yasmin's parents that the proximal end of the tibia, where the epiphysis meets the diaphysis, is fractured. The fracture is properly set and eventually heals. During a routine physical when she is 18 , Yasmin learns that her right leg is $2 cm$ shorter than her left, probably because of her accident. What might account for this difference?

A car passenger buckles himself in with a seat belt and holds his $18-\mathrm{kg}$ toddler on his lap. Use the work-energy principle to answer the following questions. (a) While traveling $25\mathrm{~m}/\mathrm{s}$, the driver has to make an emergency stop over a distance of $45\mathrm{~m}$. Assuming constant deceleration, how much force will the arms of the parent need to exert on the child during this deceleration period? Is this force achievable by an average parent?

You are working in the emergency department (ED) of a community hospital when the ambulance arrives with A.N., an $18$-year-old woman who was caught in a house fire. She was sleeping when the fire started and managed to make her way out of the house through thick smoke. The emergency medical system crew initiated humidified oxygen at $15 \mathrm{~L} / \mathrm{min}$ per nonrebreather mask and started a $16$-gauge IV with lactated Ringer's solution. On arrival to the ED, her vital signs are $100/66, 125, 34$, $\mathrm{SaO}_2 93 \%$. An additional $16$-gauge IV is inserted. She appears anxious and in pain.

Eighteen hours after the injury, the NAP reports these vital signs for A.N. and states that the urine output for the past hour was $20$ mL.

$$\begin{aligned} &\text { Vital Signs }\\ &\begin{array}{ll} \text { Blood pressure } & 90 / 50 \mathrm{~mm} \mathrm{Hg} \\ \text { Heart rate } & 110 \text { beats } / \mathrm{min} \\ \text { Respiratory rate } & 24 \text { breaths } / \mathrm{min} \end{array} \end{aligned}$$

What do you suspect is occurring, and why does this concern you?

Forty patients were asked how many minutes they had to wait in an emergency department before they were seen by a doctor. The results are below. Construct a frequency distribution table using five classes.
32 40 66 51 28 35 30 45 49 33
37 41 56 43 59 60 32 48 56 55
50 29 44 54 64 65 49 34 39 30
36 34 47 52 43 47 58 31 61 29

(a) Recall Which amendment guaranteed African Americans the right to vote: the Thirteenth, Fourteenth, or Fifteenth?

(b) Apply Information How did each of these three amendments help to expand democracy?

A defibrillator is used by emergency medical staff to shock the heart of an accident victim by applying a 10,000- $\mathrm{V}$ potential difference across the victim's chest.

(a) If the defibrillator has an internal resistance of $10 \Omega$ and the victim's heart has a resistance of $300 \Omega$, what is the current that passes through the victim's heart the moment the defibrillator is discharged?

(b) If the defibrillator delivers this current over a $10-\mathrm{ms}$ time interval, how many electrons pass through the heart during this process?

J.R. is a $28$-year-old man who was doing home repairs. He fell from the top of a $6$-foot stepladder, striking his head on a large rock. He experienced a momentary loss of consciousness. By the time his neighbor got to him, he was conscious but bleeding profusely from a laceration over the right temporal area. The neighbor drove him to the emergency department of your hospital. As the nurse, you immediately apply a cervical collar, lay him on a stretcher, and take J.R. to a treatment room.

Identify at least five signs and symptoms of increased ICP.