Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town 0 1 2 3 X P(x) 0.02 0.19 0.28 0.51 (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.) (b) Find the probability of randomly selecting a household that has two or more televisions. The probability is (Type an integer or a decimal. Do not round.) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive. The probability is (Type an integer or a decimal. Do not round.) (d) Find the probability of randomly selecting a household that has at most two televisions. The probability is (Type an integer or a decimal. Do not round.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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### Probability Distribution Exercise

**Use the probability distribution to complete parts (a) through (d) below.**

**The probability distribution of the number of televisions per household in a small town:**

| Number of TVs (x) | Probability (P(x)) |
|-------------------|-------------------|
| 0                 | 0.02              |
| 1                 | 0.19              |
| 2                 | 0.28              |
| 3                 | 0.51              |

**Questions:**

(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.)

(b) Find the probability of randomly selecting a household that has two or more televisions.
- The probability is _____. 
(Type an integer or a decimal. Do not round.)

(c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive.
- The probability is _____. 
(Type an integer or a decimal. Do not round.)

(d) Find the probability of randomly selecting a household that has at most two televisions.
- The probability is _____. 
(Type an integer or a decimal. Do not round.)

**Explanation:**
- To find the probability of a specific event, sum the probabilities of the outcomes that make up the event.
Transcribed Image Text:### Probability Distribution Exercise **Use the probability distribution to complete parts (a) through (d) below.** **The probability distribution of the number of televisions per household in a small town:** | Number of TVs (x) | Probability (P(x)) | |-------------------|-------------------| | 0 | 0.02 | | 1 | 0.19 | | 2 | 0.28 | | 3 | 0.51 | **Questions:** (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.) (b) Find the probability of randomly selecting a household that has two or more televisions. - The probability is _____. (Type an integer or a decimal. Do not round.) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive. - The probability is _____. (Type an integer or a decimal. Do not round.) (d) Find the probability of randomly selecting a household that has at most two televisions. - The probability is _____. (Type an integer or a decimal. Do not round.) **Explanation:** - To find the probability of a specific event, sum the probabilities of the outcomes that make up the event.
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