Yahoo Answers: Answers and Comments for Statistics? [Mathematics]
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From Azeneth
enUS
Mon, 14 Oct 2019 05:14:07 +0000
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Yahoo Answers: Answers and Comments for Statistics? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20191014051407AAGHlkn
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From paramvenu: p = 45% or 0.45
q = 1p = 10.45 = 55
n = 5
Ac...
https://answers.yahoo.com/question/index?qid=20191014051407AAGHlkn
https://answers.yahoo.com/question/index?qid=20191014051407AAGHlkn
Mon, 14 Oct 2019 05:34:22 +0000
p = 45% or 0.45
q = 1p = 10.45 = 55
n = 5
According to Binomial distribution
P(x) = Cx*p^x*q^(nx)
i) At least 1
Required probability = P(x >/= 1)
= 1  P(x=0)
= 1  5C0*0.45^0*0.55^5
= 1  0.0503
= 0.9497
ii) Exactly 3
Required probability = P(x=3)
= 5C3*0.45^3*0.55^2
= 0.2757
iii) More than 2
Required probability = P(x > 2)
= P(x=3)+P(x=4)+P(x=5)
= 5C3*0.45^3*0.55^2 + 5C4*0.45^4*0.55^1 + 5C5*0.45^5*0.55^0
= 0.2757 + 0.1128 + 0.0185
= 0.4070
iv) None
Required Probability = P(x=0)
= 5C0*0.45^0*0.55^5
= 0.0503