https://file.aiquickdraw.com/mathbot/file/1725881085016rz7fdsxh.jpg

To solve this problem, we need to find the probability that a randomly selected American household has 5 or fewer people.

From the table provided in the image, the probabilities for each household size are:

- 1 person: 0.25
- 2 persons: 0.32
- 3 persons: 0.16
- 4 persons: 0.16
- 5 persons: 0.07

To find the total probability of having 5 or fewer people, we sum these probabilities:

\[
P(\text{5 or fewer people}) = P(1) + P(2) + P(3) + P(4) + P(5)
\]

Now let's calculate:

\[
P(\text{5 or fewer people}) = 0.25 + 0.32 + 0.16 + 0.16 + 0.07 = 0.96
\]

Thus, the probability that a randomly selected household has 5 or fewer people is **0.96**.

Would you like more details or have any other questions?

Here are 5 related questions:
1. What is the probability that a randomly selected household has more than 5 people?
2. How would the total probability distribution change if the number of people with 7+ increased to 0.05?
3. What is the expected number of people in a household based on these probabilities?
4. How could we calculate the variance in the number of people per household from this data?
5. What is the cumulative probability of selecting a household with 4 or fewer people?

**Tip**: Always check if the sum of all probabilities equals 1 to ensure the distribution is valid.

What’s the probability that a randomly selected American household has 5 or fewer people?

Learn how to calculate the probability that a randomly selected American household has 5 or fewer people. The step-by-step solution involves summing individual probabilities from a distribution table. This problem is suitable for high school students in grades 9-11.

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