Answer :

Final answer:

To find the probability that at least 15 out of 20 randomly chosen people have a pet, we need to calculate the probability of having exactly 15, 16, 17, 18, 19, or 20 people with pets.

Explanation:

To find the probability that at least 15 out of 20 randomly chosen people have a pet, we need to calculate the probability of having exactly 15, 16, 17, 18, 19, or 20 people with pets.

We can calculate these probabilities using the binomial probability formula: P(x=k) = C(n,k) * p^k * (1-p)^(n-k), where n is the number of trials (20), k is the number of successes (15, 16, 17, 18, 19, 20), and p is the probability of success (the chance of an individual having a pet).

Once we have the probabilities for each value, we can sum them up to get the probability of at least 15 people having a pet.

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