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# The probability that it will rain in NYC on any given day in

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Intern
Joined: 20 Jun 2005
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Location: Santa Clara
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The probability that it will rain in NYC on any given day in [#permalink]  07 Aug 2006, 15:22
The probability that it will rain in NYC on any given day in July is 30%. what is the probability that it will rain on exactly 3 days from July 5 to July 10 ?
VP
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[#permalink]  07 Aug 2006, 16:06
6C3*(0.3)^3*(0.7)^3

Inclusive of July 5 and 10
VP
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[#permalink]  07 Aug 2006, 16:21
Probability raining for three out of 6 days = 3x3x3x7x7x7/10x10x10x10x10x10

Pick 3 days out of 6 in 20 ways

Prob = 20 x 27x343/10^6.
SVP
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[#permalink]  08 Aug 2006, 00:47
Probability that it rains on three days = 0.3*0.3*0.3*0.7*0.7*0.7

Number of ways to select 3 days on which it will rain = 6C3 = 20

Hence final P = 20* 0.3*0.3*0.3*0.7*0.7*0.7
CEO
Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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[#permalink]  08 Aug 2006, 07:03
Using binomial distribution

6C3 * (0.3)^3 * (0.7)^3
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

[#permalink] 08 Aug 2006, 07:03
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# The probability that it will rain in NYC on any given day in

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