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# Welcome to PMBA0608: Economics/Statistics Foundation - PowerPoint PPT Presentation

Welcome to PMBA0608: Economics/Statistics Foundation. Fall 2006 Session12: November 29 Southern Campus 19:30-21:00. Discuss Assignment 6: # 1, Page 526 of Econ. A family buys a new refrigerator durable consumption added to C

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### Welcome toPMBA0608: Economics/Statistics Foundation

Fall 2006

Session12: November 29

Southern Campus

19:30-21:00

Discuss Assignment 6: # 1, Page 526 of Econ.

• A family buys a new refrigerator durable consumption added to C

• Aunt Jane buys a new house fixed investment (If)  added to I

• Selling car from inventory has two effects

1. negative change in inventories = negative inventory investment (Ii) subtracted from I

2. Added to C or I or X or G

• 1 and 2 Cancel each other

• Net effect zero. Is that ok ?

• Note the value of car was accounted for when it was added to inventories

e. California repaves highway government purchases added to G

2. Addition to Imports M goes up  net exports go down

• 1 and 2 Cancel each other.

• Is that ok?

g. Honda expands its factory in Ohio  If  added to I

Part (a)

NGDP2005= ΣPi, 05 Qi, 05= \$200

NGDP2006= ΣPi, 06 Qi, 06= \$400

NGDP2007= ΣPi, 07 Qi, 07= \$800

Part (a)

RGDP2005= ΣPi, 05 Qi, 05 =\$200

RGDP2006= ΣPi, 05 Qi, 06 =\$400

RGDP2007= ΣPi, 05 Qi, 07 =\$400

Part (a)

GDP deflator05 = (NGDP05/ RGDP05) X 100= (200/200) X 100 = 100

GDP deflator06 = (NGDP06/ RGDP06) X 100= (400/400) X 100 = 100

GDP deflator07 = (NGDP07/ RGDP07) X 100= (800/400) X 100 = 200

Part (b)

Note:

Percentage change =

[(This year’s figure – last year’s figure)/last year’s figure] *100

• When prices don’t change (2006), RGDP goes up by as much as NGDP does

• When prices go up as much as NGDP does (2007) , RGDP does not change

• Part (c)

• Economic well being is more closely associated with RGDP than NGDP

• In 2007, economic well being did not rise

f. NGDP grew more than RGDP because prices went up.

• What increases RGDP?

• Increase in Q

• %ΔRGDP = %ΔQ

• What increases NGDP?

• Increase in P and increase in Q

• %ΔNGDP = %ΔQ + %ΔP

• Or

• %ΔNGDP = %ΔRGDP + %ΔP

• Relatively speaking, India probably has more household production than USA. So the gap between the true per capita RGDPs (the one that includes household production) of US and India may not be as high as indicated in this table

• Study Chapters 5, 6 and 23 of your Econ book and answer the end of the chapter questions.

• Study Section 3.4 though Section 4.2 of your Stat book (pages 102-143) and answer the end of the section questions.

• The formulas will not be given to you

• The binomial table will be given to you

• Review your notes and the Power Point Slides covering Sections 7 through 12.

• Review Assignments 3 though 6.

• Econ multiple choice questions

• Econ problems

• Econ essays

• Stat short problems/questions

• Stat longer (more involved) problems

• Question 3.21, Page 111 of Stat

• P (U) = P (use internet)=0.4

• P (NU) = P (not use internet) =0.36

• P (DN) = P (don’t know)=.24

• P(U) = 0.4

• Let’s modify it to: What is the lowest probability that only …

Let’s do a picture for part bYou are selecting two individuals

P (U) = 0.4

P(U)= 0.4

P (NU) = 0.36

P (DN) = 0.24

P (NU) = 0.36

P (U) = 0.4

P (NU) = 0.36

P (DN) = 0.24

P (DN) = 0.24

• There are two ways to select one person who uses internet and one that doesn't

• What is the probability of the first person using the internet and the second person not using internet?

• O.4 X 0.36 = 0.144

• What is the probability of the first person not using the internet and the first person does?

• 0.36 X 0.4 = 0.144

• The lowest probability that only one will use internet = 0.144+0.144=0.288

• Two devices to activate the sprinkler

• The sprinkler will be activated by device A or device B or both

• Reliability of A is 0.91

• Reliability of B is 0.95

• P (sprinkler being activated)=?

• P (sprinkler being activated)= P (A or B or both work)

Note: You don’t want to double count the case that both devices will work

P (AUB) = union = Probability of A or B or both

P (AUB) = P (A) + P (B) – P (AB)

P (AUB) = 0.91 + 0.95 – (0.91 X 0.95) = 0.9955

Let’s do 3.35, Page 123 devices will work

• 61% like term limit

• We select three individuals

Part a devices will work

• What is P( none likes term limit)?

• 0.39 X 0.39 X 0.39 =0.0593

• What is P (one likes term limit)?

• (0.39 X 0.39 X 0.61) + (0.39 X 0.61 X 0.39) + (0.61 X 0.39 X 0.39) =0.2783

• What is P (two likes term limit)?

• (0.39 X 0.61 X 0.61) + (0.61 X 0.39 X 0.61) + (0.61 X 0.61 X 0.39) = 0.4354

• What is P (all like term limit)?

• 0.61 X 0.61 X 0.61 = 0.2270

Note: Sum of probabilities = 1, why? devices will work

P (x)

0.5

0.4

0.3

0.2

0.1

0

1

2

3

x

Part c devices will work

• P (x≥ 2) = P (2) + P (3)= 0.4354 +0.2270= 0.6624

• Part d

• E(x) = μ = Σx * P (x)

• E(x) = 0.2783 + (2 * 0.4354) + (3 * 0.2270)= 1.83

• Variance

• σ2= Σ (x – μ)2 P (x)

• σ2= (– 1.83)2 * 0.0593 +(1- 1.83)2 * 0.2783 + (2- 1.83)2 * 0.4354 + (3- 1.83)2 * 0.2270 = 0.714

• Standard deviation = square root of variance= 0.845

As you review for exam devices will work