(a) Show that if we are given the odds in favor of event A as n:m, the probability of event A is given by the following. in P(A) !! n + m Hint: Solve the following equation for P(A).

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st Has Developed A
Sometimes probability statements are expressed in terms of odds. The odds in favor of an event A are the following ratio.
P(A)
P(A)
%3D
P(not A)
P(A^)
For instance, if P(A) = 0.60, then P(A^) = 0.40 and the odds in favor of A are
0.60
6
written as 3 to 2 or 3:2.
2'
%3D
%D
0.40
4
(a) Show that if we are given the odds in favor of event A as n:m, the probability of event A is given by the following.
P(A) = _"
n + m
Hint: Solve the following equation for P(A).
P(A)
1 – P(A)
n(1 – P(A))
X (P(A))
%3D
n – nP(A)
X P(A)
n =
X P(A) + nP(A)
(A)
n =
P(A)
n + m
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 2 to 13. What is the probability of a successful call? (Round your
answer to two decimal places.)
16
SEP
étv
W
PDF
15
JPG
280
||
Transcribed Image Text:st Has Developed A Sometimes probability statements are expressed in terms of odds. The odds in favor of an event A are the following ratio. P(A) P(A) %3D P(not A) P(A^) For instance, if P(A) = 0.60, then P(A^) = 0.40 and the odds in favor of A are 0.60 6 written as 3 to 2 or 3:2. 2' %3D %D 0.40 4 (a) Show that if we are given the odds in favor of event A as n:m, the probability of event A is given by the following. P(A) = _" n + m Hint: Solve the following equation for P(A). P(A) 1 – P(A) n(1 – P(A)) X (P(A)) %3D n – nP(A) X P(A) n = X P(A) + nP(A) (A) n = P(A) n + m (b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 2 to 13. What is the probability of a successful call? (Round your answer to two decimal places.) 16 SEP étv W PDF 15 JPG 280 ||
1 - P(A)
n(1 - P(A))
X (P(A))
n- nP(A) =
X P(A)
n =
X P(A) + nP(A)
x P(A)
Jas
in
P(A)
n + m
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 2 to 13. What is the probability of a successful call? (Round your
answer to two decimal places.)
(c) A sports announcer says that the odds a basketball player will make a free throw shot are 5 to 7. What is the probability the player will make the shot? (Round your
answer to two decimal places.)
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CC
SEP
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16
étv
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15
280
DII
DD
F10
F9
80
F7
F8
F6
F5
Transcribed Image Text:1 - P(A) n(1 - P(A)) X (P(A)) n- nP(A) = X P(A) n = X P(A) + nP(A) x P(A) Jas in P(A) n + m (b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 2 to 13. What is the probability of a successful call? (Round your answer to two decimal places.) (c) A sports announcer says that the odds a basketball player will make a free throw shot are 5 to 7. What is the probability the player will make the shot? (Round your answer to two decimal places.) Need Help? Master It Read It Watch It Viewing Saved Work Revert to Last Response Submit Answer CC SEP W PDF 16 étv JPG 15 280 DII DD F10 F9 80 F7 F8 F6 F5
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