you must type your answers fractions like 2/3 (you do not need to reduce or simplify). help (fractions) the…

you must type your answers fractions like 2/3 (you do not need to reduce or simplify). help (fractions) the table below summarizes the results of a survey that asked about the survey respondents family size (rows) and the number of cars owned (columns). for example, 2 respondents stated that they live by themselves, and own 2 or more cars. the table also gives totals for each category. for example, 23 respondents live by themselves, while 24 respondents own zero cars. suppose a respondent is chosen at random (from out of 89 total). what is the probability that the chosen respondent lives by themselves and owns 2 or more cars? suppose a respondent is chosen at random (from out of 89 total). what is the probability that the chosen respondent lives by themselves or owns 2 or more cars? what is the probability that the chosen respondent lives by themselves? what is the probability that the chosen respondent owns no cars?

you must type your answers fractions like 2/3 (you do not need to reduce or simplify). help (fractions) the table below summarizes the results of a survey that asked about the survey respondents family size (rows) and the number of cars owned (columns). for example, 2 respondents stated that they live by themselves, and own 2 or more cars. the table also gives totals for each category. for example, 23 respondents live by themselves, while 24 respondents own zero cars. suppose a respondent is chosen at random (from out of 89 total). what is the probability that the chosen respondent lives by themselves and owns 2 or more cars? suppose a respondent is chosen at random (from out of 89 total). what is the probability that the chosen respondent lives by themselves or owns 2 or more cars? what is the probability that the chosen respondent lives by themselves? what is the probability that the chosen respondent owns no cars?

Answer

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Calculate "lives by themselves or owns 2 or more cars"

Number of people who live by themselves is 23, number of people who own 2 or more cars is 34, and number of people who live by themselves and own 2 or more cars is 2. Using the inclusion - exclusion principle, the number of people who live by themselves or own 2 or more cars is $23 + 34- 2=55$.

Step3: Calculate probability

The total number of respondents is 89. So the probability is $\frac{55}{89}$.

Step4: Calculate probability of owning no cars

The number of people who own no cars is 24. So the probability is $\frac{24}{89}$.

Answer:

The probability that the chosen respondent lives by themselves or owns 2 or more cars is $\frac{55}{89}$. The probability that the chosen respondent owns no cars is $\frac{24}{89}$.