Question

The Gallup organization found that 28% of Americans own a cat as a pet. Round all probabilities to four decimal places.

Find the probability that 6 Americans own a cat as a pet.

Answer 1

The probability that 6 Americans own a cat as a pet is approximately 0.0287.

Step-by-step explanation:

To find the probability that 6 Americans own a cat as a pet, we can use the binomial probability formula. The binomial probability formula is: P(x) = (nCx) * p^x * (1-p)^(n-x), where n is the total number of trials, x is the number of successful outcomes, and p is the probability of success. In this case, n = 6, x = 6, and p = 0.28. Plugging in these values, we get:

P(6) = (6C6) * 0.28^6 * (1-0.28)^(6-6)

P(6) = 1 * 0.28^6 * 0.72^0 = 0.0287

So, the probability that 6 Americans own a cat as a pet is approximately 0.0287.