Questions: Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town x 0 1 2 3 P(x) 0.03 0.18 0.26 0.53 (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.)

Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town x 0 1 2 3 P(x) 0.03 0.18 0.26 0.53 (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.)
Transcript text: Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town \begin{tabular}{lcccc} $x$ & 0 & 1 & 2 & 3 \\ $P(x)$ & 0.03 & 0.18 & 0.26 & 0.53 \end{tabular} (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is $\square$ . (Type an integer or a decimal. Do not round.)
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Solution

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Solution Steps

Step 1: Identify the Values of Interest

The values of interest are households with 1 and 2 televisions.

Step 2: Look Up the Probabilities

The probability of a household having 1 television, P(1), is 0.18. The probability of a household having 2 televisions, P(2), is 0.26.

Step 3: Calculate the Total Probability of the Event

To find the total probability of selecting a household with either 1 or 2 televisions, we add P(1) and P(2): P(event) = P(1) + P(2) = 0.18 + 0.26 = 0.44

Step 4: Report the Probability of the Event

The probability of randomly selecting a household that has one or two televisions, rounded to 2 decimal places, is 0.44.

Final Answer:

The probability of selecting a household with either 1 or 2 televisions is approximately 0.44.

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