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Destination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the
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Answer #1

Answer:

Given,

p = 26% = 0.26

sample n = 3

Consider,

Binomial distriuution P(X) = nCx*p^x*q^(n-x)

nCx = n!/(n-x)!*x!

a)

P(X < 2) = P(0) + P(1)

= 3C0*0.26^0*(1-0.26)^3 + 3C1*0.26^1*(1-0.26)^2

= 0.405 + 0.427

= 0.832

b)
P(X >= 2) = 1 - P(X <= 1)

= 1 - [P(0) + P(1)]

= 1 - [3C0*0.26^0*(1-0.26)^3 + 3C1*0.26^1*(1-0.26)^2]

= 1 - 0.832

= 0.168

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