Use the distribution in the form of the stem-leaf plot.

Stem      Leaves

1                 1478

2              01237888

3                  189          

16/ The mid-point of the third class is

A./   32   B/   36 C/    34.5 D/   35

17/ The median is

A./   24 B/  23 C/ 25   D/ 5

18/ The relative frequency for the third class is:

A./   20%   B/  50% C/    66% D/   40%

19/ The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the mean height from this frequency table.

Height s (in)           Frequency

70-72                            4

73-75                            6

76-78                            8

79-81                            2

A./   75.2 in   B/  76.8 in C/    74.0 in D/   77.5 in

20/ The temperatures ( in ºF ) in a room is recorded at the top of hours are

67, 68, 70 , 5, 77, 77, 78, 80, 78, 79, 74, 74. Choose best answer:

a/  It is a typo

b/  highest temperature is probably 95

c/  5 is not an outlier

d/  5 is an outlier

21/ The variance of 6 washing machines with prices:  $ 800, $784, $ 1,235, $860, $1,036 and $770 is

A/ 196.4 B/   34,295.3 C/ 26,002.7 D/ 185.2

22/ The coefficient of variation ( round to closest %) for the set of data  :

1, 3, 3, 5, 5, 6, 7, 8, 9 ,12, 15, 24  is

A   74% B/ 67% C/ 24% D/ 78 %

23/ Human body temperatures have the mean of 98.2º  and a standard deviation of 0.6º.

Amy’s temperature can be described by z = 0.9. What is her temperature?

A/ 98.2º B/ 97.8º C/   98.7º D/ 99.3º

24/ The upper bound for the outlier for the data set

-11, 14, 22, 22, 22, 23, 31, 31, 42, 44, 44, 75    is

A/  74.5 B/  75 C/ 84 D/   68

25/ The box-plot of a data with 5- point summary   2, 6, 8, 11, 18

A/is positive skewed. B/ is negative skewed.

C/ is symmetric D/ perfect skewed

In which of the following examples would it be useful to use a two-dimensional PDF like the one used in the basketball example in class? (Select all that apply)

a) When looking at the geographical locations of all the universities across India

b) When looking at the ranking of a basketball team across time

c) When looking at the points where a tennis player’s ball bounced during a tennis match

d) When measuring the effects of a medicine on children

A stock price is currently $50. Over each of the next two three-month periods, it is expected to increase by 10% or fall by 10%. Consider a six month American put option with a strike price of $49.5. The risk free rate is 6%. Work out the the two step binomial option pricing fully and fill in the asked questions. (Work out using 4 decimals and then enter your answers rounding to two decimals without $ sign)

a) S0uu= Blank 1

b) ƒuu= Blank 2

c)  S0dd= Blank 3

d) ƒdd= Blank 4

e)  S0u= Blank 5

f) ƒu= Blank 6

g)  S0d= Blank 7

h) ƒd= Blank 8

i) Option price today (ƒ) = Blank 9

j) At which node will American put option exercised early? (Enter A, B, C or None) Blank 10

The following table describes hypothetical age-specific rates of heart disease in India and the United States in 2009. Also included are hypothetical age distributions for the two countries and the entire world population. Age Group (in years) % of Population in Age Group Heart Disease Rate per 100,000 person-years INDIA U.S.A. WORLD INDIA U.S.A. < 30 60% 30% 50% 50 75 30-55 30% 40% 30% 80 150 > 55 10% 30% 20% 120 400 • Calculate the crude rate of heart disease for each of the two countries. Suppose that you want to compare the rate of heart disease in India to that in the United States. You know that age is an important risk factor for heart disease. Examine the age distribution of each country’s population. • Should you use the two crude rates to compare the two countries? Why or why not? •

A survey on a sample of 30 men and 30 women compare the average time they spend on their phones per day.

Data:

Daily average time people spend on their phones in hrs

-Make a histogram for each data set, stem and leaf for each data set and side by side box plots for each variable.

-Use a calculator to do a 5#summary for each data set, outlier calculations using the 5#summary for each data set. Write a brief comparison of the data sets using these values.

-Perform a hypothesis test(paired t-test or two-sample t-test, whichever applies) to see if there is a difference between your two groups. Include all parts of the test and write a conclusion. Be sure to include if you have met the assumptions.

_{Suppose n unrelated families (defined as the husband, the wife, and one child) are gathered together. What is the smallest n for which chances are > 50% that there will be two or more families completely matched in birthdays (i.e., the two husbands have the same birthday, so do the two wives, and so do the two children)?}

A risk neutral firm (seeking to maximize expected profits) can choose
between two mutually exclusive projects. One project yields a profit of
10 with certainty. The other project is risky, and yields a profit of 40
and a loss of 10, each with 50 percent chance. The government is
levying a tax on profits, denoted by 0<t<1. In case the firm suffers from
losses (negative profits), the (negative) tax is neither refundable nor can
the losses be carried forward and offset against future profits.
Characterize the excess burden as a function of t.

Part 1: Two 6-sided dice are rolled. One die is a standard die, and the other is a Fibonacci die with sides 1, 1, 2, 3, 5, and 8. Submit a file with the probability distribution for this experiment.

Part 2: Two 6-sided dice are rolled. One die is a standard die, and the other is a Fibonacci die with sides 1, 1, 2, 3, 5, and 8. What is the shape of the probability distribution?

Part 3: Two 6-sided dice are rolled. One die is a standard die, and the other is a Fibonacci die with sides 1, 1, 2, 3, 5, and 8. What is the expected value when these two dice are rolled?

Cortex-M0+ is the most energy-efficient processor in the Cortex-M family. Suppose a Cortex-M0+ processor takes 100 HA at running mode, and 50 HA at sleep mode. If the application puts the processor 50% at running mode and 50% at sleep mode, and the processor is powered by two button cell batteries with a total capacity of 600 mAh. How long can the batteries last? (Thumb of rule: Battery Life- Battery Capacity in Milliamps per hour/ Load Current in Mill amps * 0.70)

Marilyn O’Donnell is a 75 year old female who underwent a laparotomy for a Hartmann’s procedure to remove a tumour found in her descending colon. On return to the ward, she has the following insitu:

Nasogastric tube (NGT) on free drainage requiring aspirations every four hours.

Indwelling urinary catheter (IDC) requiring hourly measures.

Oxygen supplementation via a Hudson Mask at 6 L/minute.

Peripheral intravenous cannula (IVC) with Compound Sodium Lactate (CSL) in progress at 166 mL/hr.

Bellovac drains on suction x 2.

Colostomy.

Question 6

Mrs O’Donnell is receiving CSL at 166ml/hr. Identify and provide a brief rationale for three (3) nursing assessments/interventions appropriate for a person receiving intravenous therapy (IVT).

(Approximately 150 words)

Question 7

A. Identify and describe one (1) method for determining correct placement of Marilyn’s NGT.

(Approximately 50 words)

B. Identify and rationalise one (1) nursing consideration when caring for Marilyn’s NGT.

(Approximately 50 words)

Question 8

Identify and rationalise two (2) nursing considerations when caring for Marilyn’s IDC.

(Approximately 100 words)