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A copany held a biced preszure scrocring dinicr i amplayocs. The csuits are aumm

ID: 3366434 • Letter: A

Question

A copany held a biced preszure scrocring dinicr i amplayocs. The csuits are aummarized in he bie below by agc group and blood prcsare ll Under 30 30-49 Over 50 31 74 Fird the marginal datibuticn af boec pressure. Buod Pressure Urder 30 30-48 Ove 50 Telsl 92 231 High 25 C0.0 Etart by inding the concitioral d stribuicn of b cod preszure for the under 30 age group. Aga Nomral Hig Tata 27 47 25 9 Unde 30 Fnd the condiional dicrbution of blood pressure for the 30-49 grouP % 7% 7% 10% (Round to one decimal place as nocded F nd the oonditoraldisrtution of ?0od pressure for the uver 50 age group. 92 74 17 ONHr S0

Explanation / Answer

Solution :

a) Marginal distribution of Blood pressure :
Low = 98/476 = 0.206 * 100 = 20.6%
Normal = 231/476 = 0.485 * 100 = 48.5%
high = 147/476 = 0.309 * 100 = 30.9%

b) Conditonal distribution of blood pressure :

Age -> under 30

Low = 27/99 = 0.273 * 100 = 27.3%
Normal = 47/99 = 0.475 * 100 = 47.5%
high = 25/99 = 0.253 * 100 = 25.3%

Age -> 30 - 49

Low = 40/180 = 0.222 * 100 = 22.2%
Normal = 92/180 = 0.511 * 100 = 51.1%
high = 48/180 = 0.267 * 100 = 26.7%

Age -> over 50

Low = 31/197 = 0.157 * 100 = 15.7%
Normal = 92/197 = 0.467 * 100 = 46.7%
high = 74/197 = 0.376 * 100 = 37.6%