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 0.319.
(type an integer or a decimal. round to three decimal places as needed.)

(b) randomly selecting an adult who thinks the story is not at all important
the probability is .
(type an integer or a decimal. round to three decimal places as needed.)

Explanation:

Identify the total sample size

Using the Empirical Probability and Pareto Chart knowledge points

$$ N = 1001 $$

Identify the frequency of the target event

Using the Pareto Chart knowledge point

• Target event: "not at all important" (Response category E)
• Frequency of category E:

$$ f = 139 $$

Calculate the empirical probability

Using the Empirical Probability knowledge point

$$ P(\text{not at all important}) = \frac{f}{N} = \frac{139}{1001} \approx 0.138861 $$

Round to three decimal places

Using the Empirical Probability knowledge point

$$ P(\text{not at all important}) \approx 0.139 $$

Answer:

(b) Randomly selecting an adult who thinks the story is not at all important

The probability is <blank>0.139</blank>