3.61 Fighting probability of fallow deer bucks. In Aggressiv Behavior (Jan./Feb. 2007), zoologists investigated th likelihood of fallow deer bucks fighting during the matin season. During the observation period, the researchers r corded 205 encounters between two bucks. Of these, 16 involved one buck clearly initiating the encounter with th other. In these 167 initiated encounters, the zoologists kej track of whether or not a physical contact fight occurre and whether the initiator ultimately won or lost the er counter. (The buck that is driven away by the other is co sidered the loser.) A summary of the 167 initiated encour ters is provided in the table on p. 143. Suppose we sele one of these 167 encounters and note the outcome (fig) status and winner). a. What is the probability that a fight occurs and the init ator wins? b. What is the probability that no fight occurs? c. What is the probability that there is no clea winner? d. What is the probability that a fight occurs or the initi tor loses? e. Are the events "No clear winner" and "Initiator loses mutually exclusive? Initiator No Clear Initiator Wins Winner Loses Totals Fight 26 No Fight 80 Totals 106 323 15 64 12 11 103 35 26 167 Based on Bartos, L. et al. "Estimation of the probability of fighting in fallow deer (Dama dama) during the rut." Aggressive Behavior, Vol. 33, Jan/Feb. 2007, pp. 7-13.
3.61 Fighting probability of fallow deer bucks. In Aggressiv Behavior (Jan./Feb. 2007), zoologists investigated th likelihood of fallow deer bucks fighting during the matin season. During the observation period, the researchers r corded 205 encounters between two bucks. Of these, 16 involved one buck clearly initiating the encounter with th other. In these 167 initiated encounters, the zoologists kej track of whether or not a physical contact fight occurre and whether the initiator ultimately won or lost the er counter. (The buck that is driven away by the other is co sidered the loser.) A summary of the 167 initiated encour ters is provided in the table on p. 143. Suppose we sele one of these 167 encounters and note the outcome (fig) status and winner). a. What is the probability that a fight occurs and the init ator wins? b. What is the probability that no fight occurs? c. What is the probability that there is no clea winner? d. What is the probability that a fight occurs or the initi tor loses? e. Are the events "No clear winner" and "Initiator loses mutually exclusive? Initiator No Clear Initiator Wins Winner Loses Totals Fight 26 No Fight 80 Totals 106 323 15 64 12 11 103 35 26 167 Based on Bartos, L. et al. "Estimation of the probability of fighting in fallow deer (Dama dama) during the rut." Aggressive Behavior, Vol. 33, Jan/Feb. 2007, pp. 7-13.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Question
Transcribed Image Text:3.61 Fighting probability of fallow deer bucks. In Aggressiv
Behavior (Jan./Feb. 2007), zoologists investigated th
likelihood of fallow deer bucks fighting during the matin
season. During the observation period, the researchers r
corded 205 encounters between two bucks. Of these, 16
involved one buck clearly initiating the encounter with th
other. In these 167 initiated encounters, the zoologists kej
track of whether or not a physical contact fight occurre
and whether the initiator ultimately won or lost the er
counter. (The buck that is driven away by the other is co
sidered the loser.) A summary of the 167 initiated encour
ters is provided in the table on p. 143. Suppose we sele
one of these 167 encounters and note the outcome (fig)
status and winner).
a. What is the probability that a fight occurs and the init
ator wins?
b. What is the probability that no fight occurs?
c. What is the probability that there is no clea
winner?
d. What is the probability that a fight occurs or the initi
tor loses?
e. Are the events "No clear winner" and "Initiator loses
mutually exclusive?
Initiator
No Clear Initiator
Wins
Winner
Loses
Totals
Fight
26
No Fight
80
Totals
106
323
15
64
12
11
103
35
26
167
Based on Bartos, L. et al. "Estimation of the probability of fighting in
fallow deer (Dama dama) during the rut." Aggressive Behavior, Vol. 33,
Jan/Feb. 2007, pp. 7-13.
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