Problem 5 In the 1998 video-games Pokémon Red Version and Pokémon Blue Version, the player was able to create their own party of one to six total “pocket monsters”. In these games, there were 151 species of Pokémon available for capture, and it was possible to fill a party with multiple monsters of the same species. Determine the following:

a) Ignoring order, how many combinations of party Pokémon were possible in these games?

b) If a Pokémon party were to be made up of monsters selected completely at random, how likely is it that the entire team would be made up of a single species of Pokémon?

c) If a Pokémon party were to be made up of monsters selected completely at random, how likely is it that there would be no Pokémon of the same species in the party?

Groups of dolphins were systematically observed off the coast of Iceland near Keflavik in 1998. Each observation included the main activity of a dolphin group (Activity) and the time of day the group was observed (Time). The groups varied in size, with feeding or socialising groups usually including more dolphins than travelling groups, but no information about group size was included with the data. The observations are summarised in the following table: No. of groups, summarised by activity and time. Time Morning Noon or Afternoon Evening Activity Travelling 6 20 13 Feeding 28 4 56 Socialising 38 14 10

(a) In looking for an association between Activity and Time, which variable would be the predictor and which the response? Justify your answer.

(Is this correct),My answer is-

1. The predictor variable is the main activity of a dolphin group

         (Activity) and the response variable the time of day the group was

         observed (Time). The Activity of the dolphins decides what time of day

         it is.

(b) How strong is the evidence that dolphin activity typically varies during the day? Test at a 1% significance level.If you conclude that there is a relationship, describe it.

Does this look like I am on the right path?

(My answer)

1. H0: There is no association between Dolphin Activity and the Time of day.

H1: There is some association.

     Significance Level: α= 0.01

         The test requires for the sample to be randomly selected and all the

         expected observations to be ≥5.

(My question)-It says the dolphins are systematically observed(does that mean it is not a random sample?)

Financial investment ~ Kevin is looking to invest his money in a local investment company called Robin Hood financial services. To ensure his investment is safe and has good returns, he randomly surveys people who invested with the company and asks whether they would recommend the company for investment. Of the 426 people surveyed, 270 recommend Robin Hood financial services for investment. Using this data, Kevin wants to estimate the actual proportion of people who recommend Robin Hood financial services for investment.

We want to use statistical inference to estimate the actual proportion of people who recommend Robin Hood financial services for investment.

To use a normal distribution in this scenario, which of the following conditions must be satisfied?

Question 21 options:

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Please use the following information to answer the next question:

For BB Incorporated:

Cash Flows from Assets -------------------------------------------------------------------- 100 dollars
EBIT (from 1999 INCOME STATEMENT) -------------------------------------------0 dollars
Depreciation Expense (from 1999 INCOME STATEMENT) ---------------------- 0 dollars
Taxes (from 1999 INCOME STATEMENT) ------------------------------------------ 0
Net Fixed Assets from BALANCE SHEET dated December 31, 1998-------------1400 dollars
Net Fixed Assets from BALANCE SHEET dated December 31, 1999------------ 1300 dollars
Additions to (Changes in) NWC for 1999 ---------------------------------------------- 0 dollars

For KK Incorporated:

Cash Flows from Assets ---------------------------------------------------------------------0 dollars
EBIT (from 1999 INCOME STATEMENT) -------------------------------------------500 dollars
Depreciation Expense (from 1999 INCOME STATEMENT) ----------------------100 dollars
Taxes (from 1999 INCOME STATEMENT) ------------------------------------------100
Net Fixed Assets from BALANCE SHEET dated December 31, 1998------------1400 dollars
Net Fixed Assets from BALANCE SHEET dated December 31, 1999------------1800 dollars
Additions to (Changes in) NWC for 1999 ----------------------------------------------0 dollars

For LL Incorporated:

Cash Flows from Assets --------------------------------------------------------------------100 dollars
EBIT (from 1999 INCOME STATEMENT) -------------------------------------------0 dollars
Depreciation Expense (from 1999 INCOME STATEMENT) ----------------------100 dollars
Taxes (from 1999 INCOME STATEMENT) -------------------------------------------0
Net Fixed Assets from BALANCE SHEET dated December 31, 1998-------------1400 dollars
Net Fixed Assets from BALANCE SHEET dated December 31, 1999-------------1300 dollars
Additions to (Changes in) NWC for 1999 -----------------------------------------------0 dollars

*Based only on the numbers provided, which Company is doing the BEST?
*In other words, if you were an individual investor, in which Company would you invest?

What current trend in the sport or entertainment area do you think will fall into disfavor with the consumer population? What supports your argument, and what would you do to possibly reverse that downward trend?

Case Study V Tracking Industry Changes

The following are the average scores on the mathematics part of the Scholastic Aptitude Test (SAT) for some of the years from 1994 to 2009.

Year, SAT Score

1994 504

1996 508

1998 512

2000 514

2002 516

2004 518

2005 520

2007 515

2009 515

Assuming a simple linear regression model, predict the average scores in 1997, 2006 and 2008

Using Excel to Construct event dummy (or binary) variables to represent three international events :

(i) The Asian financial crisis – one from Aug 1997 to Jul 1998, zero otherwise.

(ii) The Global Financial Crisis (GFC) – one from Feb 2007 to Feb 2009, zero otherwise.

(iii) Covid-19– one from Jan 2020 to Mar 2020, zero otherwise.

Two headlines from October 7, 2020 read as follows: “Billionaire wealth hits $10 trillion for first time ever thanks to government stimulus” (Forbes) and “Extreme poverty set for first rise since 1998, World Bank warns” (BBC).

a) identify some assumptions of capitalism and associated concerns, and use those points to explain how the situations described in these headlines have arisen.

What is the compound rate of growth for the firm's sales and net income after-tax?

Complete the following cost and revenue schedule.

a. At what rate of output are profits maximized within this range?

b. What are total profits at that output rate?