Question

the responses of 1001 adults in a certain region to a survey question about the story of britons vote to leave the european union are shown in the accompanying pareto chart. find the probability of each event listed in parts (a) through (d) below.

(a) randomly selecting an adult who thinks the story is somewhat important

the probability is \square.
(type an integer or a decimal. round to three decimal places as needed.)

Explanation:

Identify given values and target

Using the Pareto Chart and Empirical Probability knowledge points

• Total number of adults surveyed: \(N = 1001\)
• Target event: Selecting an adult who thinks the story is "somewhat important" (Response C)
• Frequency of Response C from the chart: \(f = 319\)

Calculate the empirical probability

Using the Empirical Probability knowledge point

$$ P(\text{Somewhat important}) = \frac{f}{N} = \frac{319}{1001} $$

Perform division and round

Using the Empirical Probability knowledge point

$$ P(\text{Somewhat important}) \approx 0.318681 $$

Rounding to three decimal places:

$$ P(\text{Somewhat important}) \approx 0.319 $$

Answer:

The responses of 1001 adults in a certain region to a survey question about the story of Britons' vote to leave the European Union are shown in the accompanying Pareto chart. Find the probability of each event listed in parts (a) through (d) below.

(a) Randomly selecting an adult who thinks the story is somewhat important

The probability is <blank>0.319</blank>.