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The image displays a probability distribution table for \( X \), representing the number of tires with low air pressure on a randomly chosen car. The probability distribution for \( X \) is provided, along with questions (a), (b), and (c). Parts (a) and (b) are already answered correctly, and part (c) is currently incomplete.

### Part (c):
The question asks to find the probability that all four tires have low air pressure, which corresponds to \( P(4) \).

From the given table:
- \( P(4) = 0.2 \)

Thus, the answer to part (c) is:

\[
P(\text{all four tires have low air pressure}) = 0.2
\]

Would you like to explore more details on this question, or ask any follow-up questions?

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Here are five related questions to deepen your understanding:

1. How do we calculate the probability of no tires having low air pressure?
2. How do you calculate the expected number of tires with low air pressure?
3. What is the cumulative probability distribution of \( X \)?
4. What is the probability that at least two tires have low air pressure?
5. How would the distribution change if the probabilities were unequal?

**Tip:** Always double-check if the probabilities in a distribution sum to 1 to ensure that the distribution is valid.

Find the probability that all four tires have low air pressure, given the probability distribution of X, where X represents the number of tires with low air pressure on a randomly chosen car.

This problem covers the calculation of the probability that all four tires on a randomly chosen car have low air pressure. The probability distribution of X, representing the number of tires with low air pressure, is provided. Suitable for students in Grades 9-12.

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