Estimates for an​ army's strength and losses for a particular battle are given in the displayed​ table, where strength is the number of soldiers immediately preceding the battle and loss indicates a soldier who was​ killed, wounded,​ captured, or missing. Complete parts​ (a) through​ (e).   Unit Strength Loss I Corps 20,585   7712   II Corps 21,142   6787   III Corps 23,581   8914   Cavalry 7786   330   Total 73,094   23,743     Part 1 ​(a) Find the probability that a randomly selected soldier was from the III Corps. The probability is. ​(Round to four decimal places as​ needed.) Part 2 ​(b) Find the probability that a soldier in this army was lost in the battle. The probability is ​(Round to four decimal places as​ needed.) Part 3 ​(c) Find the probability that a I Corps soldier was lost in the battle. The probability is ​(Round to four decimal places as​ needed.) Part 4 ​(d) Which group had the highest probability of not being lost in the​ battle? The ▼   I Corps Cavalry III Corps II Corps had the highest probability of not being lost in the battle. Part 5 ​(e) Which group had the highest probability of​ loss The ▼   Cavalry III Corps II Corps I Corps had the highest probability of loss.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 100E: Civil War Estimates of the Confederate Armys strength and losses for the battle of Gettysburg are...
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Estimates for an​ army's strength and losses for a particular battle are given in the displayed​ table, where strength is the number of soldiers immediately preceding the battle and loss indicates a soldier who was​ killed, wounded,​ captured, or missing. Complete parts​ (a) through​ (e).
 
Unit
Strength
Loss
I Corps
20,585
 
7712
 
II Corps
21,142
 
6787
 
III Corps
23,581
 
8914
 
Cavalry
7786
 
330
 
Total
73,094
 
23,743
 
 
Part 1 ​(a) Find the probability that a randomly selected soldier was from the III Corps.
The probability is.
​(Round to four decimal places as​ needed.)
Part 2 ​(b) Find the probability that a soldier in this army was lost in the battle.
The probability is
​(Round to four decimal places as​ needed.)
Part 3 ​(c) Find the probability that a I Corps soldier was lost in the battle.
The probability is
​(Round to four decimal places as​ needed.)
Part 4 ​(d) Which group had the highest probability of not being lost in the​ battle?
The
 
I Corps
Cavalry
III Corps
II Corps
had the highest probability of not being lost in the battle.
Part 5 ​(e) Which group had the highest probability of​ loss
The
 
Cavalry
III Corps
II Corps
I Corps
had the highest probability of loss.
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