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.
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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Question
|
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
had the highest probability of not being lost in the battle.
▼
I Corps
Cavalry
III Corps
II Corps
Part 5 (e) Which group had the highest probability of loss
The
had the highest probability of loss.
▼
Cavalry
III Corps
II Corps
I Corps
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VIEWStep 3: Determine the probability that a soldier in this army was lost in the battle.
VIEWStep 4: Determine the probability that Corp I soldier was lost in the battle.
VIEWStep 5: Determine the group having highest probability of not being lost in the battle.
VIEWStep 6: Determine the group having highest probability of loss.
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