Question

Out of the 3764 families who live in an apartment complex in New York City, 803 paid no income tax last year. What is the probability that a randomly selected family from these 3764 families paid income tax last year? Round your answer to three decimal places.

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Answer 1

the probability is approximately 0.786.

Explanation:

The probability that a randomly selected family from the 3764 families paid income tax last year can be calculated by:

P(paid income tax) = (total families who paid income tax) / (total number of families)

We can find the total number of families who paid income tax by subtracting the number of families who did not pay income tax (803) from the total number of families (3764):

Total families who paid income tax = 3764 - 803 = 2961

Therefore, the probability that a randomly selected family from these 3764 families paid income tax last year is:

P(paid income tax) = 2961 / 3764 = 0.786

Rounding this to three decimal places, the probability is approximately 0.786.