 the probability distribution to complete parts (a) through (d) below.
The probability distribution of number of televisions per household in a small town x
P(x)
0.03
0.17
2
0.27
3
0.5
(a) Find the probability of randomly selecting a household that has one or two televisions.
The probability is
(Type an integer or a decimal. Do not round.)

To find the probability of randomly selecting a household that has either one or two televisions, we need to add the probabilities associated with having one television and two televisions.

Given the probability distribution:

| Televisions (x) | Probability \( P(x) \) |
|-----------------|------------------------|
| 0               | 0.03                   |
| 1               | 0.17                   |
| 2               | 0.27                   |
| 3               | 0.50                   |

The probability of a household having one television is \( P(1) = 0.17 \), and the probability of a household having two televisions is \( P(2) = 0.27 \).

\[ P(\text{1 or 2 televisions}) = P(1) + P(2) \]

\[ P(\text{1 or 2 televisions}) = 0.17 + 0.27 = 0.44 \]

The probability of randomly selecting a household with one or two televisions is **0.44**.

Do you need more details or have any questions?

Here are five related questions you might want to ask:
1. What is the total probability of the distribution?
2. How do you find the probability of more than two televisions?
3. How do you interpret the probabilities in this distribution?
4. What is the expected number of televisions per household?
5. How can you determine if the probabilities given are accurate?

**Tip:** When dealing with probability distributions, it's helpful to check that all probabilities sum to 1 to ensure that the distribution is valid.

Learn how to calculate the probability of randomly selecting a household that has either one or two televisions using probability distribution. This problem involves understanding probability theory and applying it to a specific distribution of televisions per household.

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