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How to solve with TI-84 and by hand: According to a U.S. Humane Society report, of...

How to solve with TI-84 and by hand:

According to a U.S. Humane Society report, of the U.S. households that own a dog, 12% own three or more dogs. What is the probability that of four randomly selected households with dogs, all four have three or more dogs?

Math   Statistics-And-Probability   
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Answer #1

SOLUTION:

From the given information, let X be the number of households own three or more dogs.

The probability that households own three or more dogs is p =12%= 0.12.

Number of households selected n =4.

Here, X Binomial ( n=4,p=0.12).

The probability mass function of X is,

Compute the probability that at least one household has three or more dogs.


.


Therefore, the probability that at least one household has three or more dogs is 0.4003.

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