Questions: Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows. x 0 1 2 3 4 P(x) 0.1 0.2 0.4 0.2 0.1 Send data to Excel Part: 0 / 6 Part 1 of 6 (a) Find P(1).

Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.

x 0 1 2 3 4
P(x) 0.1 0.2 0.4 0.2 0.1

Send data to Excel

Part: 0 / 6

Part 1 of 6
(a) Find P(1).

Transcript text: Put some air in your tires: Let $X$ represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of $X$ is as follows. \begin{tabular}{c|ccccc} $x$ & 0 & 1 & 2 & 3 & 4 \\ \hline$P(x)$ & 0.1 & 0.2 & 0.4 & 0.2 & 0.1 \end{tabular} Send data to Excel Part: $0 / 6$ Part 1 of 6 (a) Find $P(1)$. \[ P(1)=\square \]

Solution

Solution Steps

Hint

To find the probability of a specific event, look up the corresponding value in the given probability distribution table.

Step 1: Identify the Given Probability Distribution

We are given the probability distribution of \(X\), the number of tires with low air pressure on a randomly chosen car. The distribution is as follows:

\[ \begin{array}{c|ccccc} x & 0 & 1 & 2 & 3 & 4 \\ \hline P(x) & 0.1 & 0.2 & 0.4 & 0.2 & 0.1 \\ \end{array} \]

Step 2: Find \(P(1)\)

To find \(P(1)\), we look up the value corresponding to \(x = 1\) in the given probability distribution table.

\[ P(1) = 0.2 \]

Final Answer

\[ \boxed{P(1) = 0.2} \]

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