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A neighborhood has 32 households – 27 white, and 5 nonwhite. A subset of 9 of...

A neighborhood has 32 households – 27 white, and 5 nonwhite. A subset of 9 of these households move to an adjacent neighborhood. What is the probability that less than two of the households in the new neighborhood are nonwhite?

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Answer:-

Given That:-

A neighborhood has 32 households – 27 white, and 5 nonwhite. A subset of 9 of these households move to an adjacent neighborhood.

What is the probability that less than two of the households in the new neighborhood are nonwhite?

The probability that less than two of the households in the new neighborhood are nonwhite

No.of Non - white household-5

Number of white household-27

Total number of household-32

Let X be the number of non - white households in the new household

P(less than 2 is non white in the new household)

The probability that less than two of the households in the new neighborhood are nonwhite is 0.5628

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