Marital Status of the U.S. Population, Ages 18 or Older, in Millions Never Married Widowed Divorced Total If one person is selected from the population described in the table, find the probability that the person has never married or is widowed. Married Male Female Total 28.1 22.5 50.6 62.1 61.9 124.0 3.1 13.0 16.1 9.0 13.0 22.0 102.3 110.4 212.7 P(never married or widowed) =
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![**Table: Marital Status of the U.S. Population, Ages 18 or Older, in Millions**
| | Never Married | Married | Widowed | Divorced | Total |
|----------------------|---------------|---------|---------|----------|--------|
| Male | 28.1 | 62.1 | 3.1 | 9.0 | 102.3 |
| Female | 22.5 | 61.9 | 13.0 | 13.0 | 110.4 |
| Total | 50.6 | 124.0 | 16.1 | 22.0 | 212.7 |
**Description:**
This table provides a detailed breakdown of the marital status for the U.S. population aged 18 or older. The data is organized by gender (Male and Female). The categories are:
- **Never Married:** The number of individuals who have never been married.
- **Married:** The number of individuals who are currently married.
- **Widowed:** The number of individuals whose spouse has passed away.
- **Divorced:** The number of individuals who are divorced.
The total number for each category (Never Married, Married, Widowed, Divorced) is provided for both males and females, along with the general totals.
**Probability Calculation:**
To find the probability that a randomly selected person from the population is either "never married" or "widowed," sum the "Never Married" and "Widowed" figures for the total population, then divide by the overall total population figure.
**Formula:**
\[ P(\text{never married or widowed}) = \frac{\text{Total Never Married} + \text{Total Widowed}}{\text{Total Population}} \]
**Values:**
- Total Never Married = 50.6 million
- Total Widowed = 16.1 million
- Total Population = 212.7 million
The probability can then be calculated appropriately and rounded to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e138466-0ad4-4a9a-926e-271fe8b5f57c%2Ff891614e-4cd5-4186-9963-1c7beaf8ee64%2Fs1uphk_processed.jpeg&w=3840&q=75)
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