The are of a rectangle room is 80 square feet. I’f the length of one side of the room is 8 feet, what is the perimeter of the ro
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Answer:
28.75% probability that none of the three randomly selected households own a cat
Step-by-step explanation:
For each household, there are only two possible outcomes. Either it owns a cat, or it does not. The probability of a household owning a cat is independent of other households. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
34% owned a cat
This means that
Three households are selected
This means that
What is the probability that none of the three randomly selected households own a cat?
This is P(X = 0).
28.75% probability that none of the three randomly selected households own a cat