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## Difficult Probability Problem

This topic has 2 member replies
jatros123 Junior | Next Rank: 30 Posts
Joined
07 Nov 2006
Posted:
14 messages
2

#### Difficult Probability Problem

Sun Feb 18, 2007 1:44 am
A sample of 1000 persons screened for a certain disease is distributed
according to height and disease status resulting from a clinical exam
as follows:

DISEASE STATUS

None Mild Moderate Severe Totals
|-------|---------|------------|----------|
Tall | 122 | 78 | 139 | 61 | 400
|-------|---------|------------|----------|
HEIGHT Med | 74 | 51 | 90 | 35 | 250
|-------|---------|------------|----------|
Short | 104 | 71 | 121 | 54 | 350
|-------|---------|------------|----------|
300 200 350 150 1000

What would you estimate from the above table to be the probability
of being medium or short in height and having moderate or severe
disease status?

a. 600/1000 * 500/1000 d. 300/600
b. 300/500 e. 800/1000
c. 300/1000

rajorshic Newbie | Next Rank: 10 Posts
Joined
27 Feb 2007
Posted:
3 messages
Wed Mar 07, 2007 5:18 am
Add all the Medium height and Short height
Medium height = 250
Short height = 350

Probability of Medium height = 250/1000 as 1000 is the total no. of people
Probability of Short height = 350/1000

Probability of Medium or short is 250/1000 + 350/1000 = 600/1000

Moderate = 350
Severe = 150

Probability of Moderate or Severe is 350/1000 + 150/1000 = 500/1000

Hence ,Probability of Medium or short and Moderate or severe is
600/1000 * 500/1000
Ans: A

jatros123 Junior | Next Rank: 30 Posts
Joined
07 Nov 2006
Posted:
14 messages
2
Sun Feb 18, 2007 1:45 am
oh..sorry the table got screwed..but i hope u can make sense of it anyways

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