An underprepared student takes a 8 question multiple choice quiz by guessing every answer. There are 5 choices (a,b,c,d,e). answer the following... what is p1, p2 and n (a). the average number of correct questions. (b). the standard deviation in correct question. (c) the probability of no questions correct. (e) the probability of getting at least 1 correct. (f) the probability of getting fewer than 3 questions correct. (g) the probability of getting exactly half correct.

Most armadillos of the genus Dasypus give birth to four monozygotic young (i.e., identical quadruplets).

Which statement is correct?

A random variable that could be studied while monitoring this species could be the number of male young born.

Because there are four babies, the probability of four males or four females must be 1/4 .

Because the young are all identical, there is no randomness.

In the long run, an equal number of males and females will be born.

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Parking is often a challenge, and it is also expensive to park on many college campuses. It is very tempting to park without paying, but there is a risk of getting a ticket. Based on empirical data, here is a probability table that quantifies the chances of various outcomes.

Which statement is not true?

Suppose you park for two days and that the probability above is the same for both days and each day’s outcome does not affect the other day’s outcome. The probability that you will have no ticket over this two‑day period is 0.36.

You parked on campus from Monday to Thursday and did not receive a ticket. Then the probability of no ticket on Friday (assuming each day’s events are independent) is still 0.40.

The probability of being towed is 0.10.

The probability that you will be fined or towed is 0.20.

1. A consulting firm must decide now whether to hire a young engineer. The main purpose of this engineer would be to work on a contract that the firm hopes to win. This new contract will begin in 2 months and last for 4 months. If the firm hires the engineer and wins the contract, the firm will make a profit of $6000 on the new contract (this figure allows for the cost of the new engineer during the 4 months of the contract). During the new employee’s first 2 months (before the new contract begins), he can be assigned to various projects, reducing overtime costs for other employees by $1200 per month. The cost of employing this engineer (salary, taxes, and benefits) is $2,000 per month, so it is clear that the firm will lose money on him for his first 2 months. If the firm hires the engineer but does not win the contract, it cannot fire him until he has completed 3 months of work. During the third month he will not really be needed, and the work he will do will be worth only $400 to the firm. If the firm does not hire the engineer but wins the contract, it will be forced to hire somebody in a rush. There is only a 45% chance that it would be able to find another young qualified engineer on such notice for $2000/month, and if it is unable to find one it will have to pay $3,000/month for an experienced engineer to work 4 months on the project.

a) The president of the firm feels the firm has a 60% chance of winning the contract. Should it hire the engineer now or wait until it knows whether it won the contract?

b) What is the “indifference probability” of winning the contract, i.e. the probability at which the firm is indifferent between hiring the engineer now and waiting until it knows whether it won the contract?

2. On the first of the month, you must decide whether or not to buy a monthly bus pass for $25. You usually drive to work, but your car must go in for service, and you will be forced to ride the bus. Over the phone, the mechanic estimated an 80% chance that the car’s problem is major, requiring 10 working days of service. However, if the mechanic finds only a “minor” problem, you will be without the car for only 5 working days. The bus fare is $3.00 per day. Should you buy the bus pass? Base your decision on the expected cost of riding the bus for the month.

The cable of the 1800 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d = 4.9 m above a spring of spring constant k = 0.33 MN/m. A safety device clamps the cab against guide rails so that a constant frictional force of 3.2 kN opposes the cab's motion. (a) Find the speed of the cab just before it hits the spring. (b) Find the maximum distance x that the spring is compressed (the frictional force still acts during this compression). (c) Find the distance (above the point of maximum compression) that the cab will bounce back up the shaft. (d) Using conservation of energy, find the approximate total distance that the cab will move before coming to rest.

(Assume that the frictional force on the cab is negligible when the cab is stationary.)

Imagine you work in a hospital and as you are stepping off of the elevator, you notice a piece of paper on the floor. You pick it up and see the above information on Susan Bowers. Understanding the importance of a person’s private health information confidentiality, you immediately take this information to the hospital’s IT Security Officer who monitors the EHR and its users. After tracking the “footprints” left behind when the users accessed Susan Bowers’ chart, the Security Officer was able to determine who printed the information.

Choose from one of the following instances and write a hospital policy or procedure for the instance you selected. Include your policy/procedure in the same Word document as the Susan Bowers information you pasted and highlighted:

(Option 1) A nursing student does not have time to write everything down from the patient’s EHR record before leaving clinical in the afternoon. The student has asked to print the patient’s personal health history to take home. Write a hospital policy on printing patient information to be removed from the unit.

OR

(Option 2) You are the charge nurse in a busy pediatric unit. The case manager for the pediatric unit wants to discuss discharge plans with you on four of the patients. To make it easier, the case manager prints out the most current information from each of the patients’ charts to take notes on while talking with you. Write a procedure for the destruction of the printed information once the case manager is finished with them.

Methanol (also known as wood alcohol and methyl alcohol) is used as a raw material in the manufacture of formaldehyde, acetic acid, and a number of other chemicals. One way it can be synthesized is by reacting carbon dioxide and hydrogen:

CO₂ + 3H₂?CH₃OH + H₂O

The fresh feed to a methanol synthesis process contains hydrogen, carbon dioxide and 0.4 mole% inerts. The reactor effluent passes to a condenser that removes essentially all of the methanol and water formed and none of the reactants or products. The latter substances are recycled to the reactor. To avoid buildup of the inerts in the system, a purge stream is withdrawn from the recycle. The feed to the reactor (not fresh feed to the process) contains 28 mole% CO₂, 70 mole% H₂, and 2 mole% inerts. The single pass conversion of hydrogen is 60%. Calculate the molar flow rates and molar compositions of the fresh feed, the total feed to the reactor, the recycle stream and the purge stream for a methanol production rate of 110 kmol/h.

The following are isomers of C2H6O2.   

a. CH₃-O-CH₂OH

b. HOCH₂CH₂OH

c. CH₃-O-O-CH₃

Use the letters of the compounds to rank the following:

Rank the molecules from Lowest to Highest Boiling Point: ____ < ____ < ____  

Rank the molecules from Lowest to Highest Vapor Pressure: ____ < ____ < ____

Rank the molecules from Lowest to Highest Surface Tension: ____ < ____ < ___

Please explain how to rank these isomers from lowest to highest in these three categories.

9.

Rank the following in order from best (highest rate of return) to worst (lowest rate of return).

Investment One: 12% p.a. compounding continuously

Investment Two: 11% p.a. compounding continuously

Investment Three: 11.50% p.a. compounding semi-annually

Investment Four: 13% p.a. compounding annually

Investment Five: 12% p.a. compounding monthly

Select one:

a. The rank from highest to lowest is: 4, 1, 3, 5, 2

b. The rank from highest to lowest is: 5, 1, 4, 3, 2

c. The rank from highest to lowest is: 1, 2, 5, 3, 4

d. The rank from highest to lowest is: 4, 1, 5, 3, 2.

e. The rank from highest to lowest is: 2, 3, 5, 1, 4

Rank the following in order from best (highest rate of return) to worst (lowest rate of return).

Investment One: 12% p.a. compounding continuously

Investment Two: 11% p.a. compounding continuously

Investment Three: 11.50% p.a. compounding semi-annually

Investment Four: 13% p.a. compounding annually

Investment Five: 12% p.a. compounding monthly

Select one:

a. The rank from highest to lowest is: 4, 1, 3, 5, 2

b. The rank from highest to lowest is: 2, 3, 5, 1, 4

c. The rank from highest to lowest is: 4, 1, 5, 3, 2.

d. The rank from highest to lowest is: 5, 1, 4, 3, 2

e. The rank from highest to lowest is: 1, 2, 5, 3, 4