Question

the responses of 1322 voters to a survey about the way the media conducted themselves in a recent political campaign are shown in the accompanying pareto chart. find the probability of each event listed in parts (a) through (d) below.

(a) randomly selecting a person from the sample who did not give the media an a or a b

the probability is 0.772.
(type an integer or a decimal. round to three decimal places as needed.)

(b) randomly selecting a person from the sample who gave the media a grade better than a d

the probability is 0.409.
(type an integer or a decimal. round to three decimal places as needed.)

(c) randomly selecting a person from the sample who gave the media a d or an f

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

Explanation:

Identify the total sample size

Using the Pareto Chart knowledge point

$$ N = 1322 $$

Identify the frequencies for each category

Using the Pareto Chart knowledge point

$$
LATEXBLOCK0
$$

Calculate the probability of selecting a person who gave a D or an F

Using the Classical Probability knowledge point

$$
LATEXBLOCK1
$$

Round the probability to three decimal places

Using the Classical Probability knowledge point

$$ P(\text{D or F}) \approx 0.591 $$

Answer:

(c) Randomly selecting a person from the sample who gave the media a D or an F

The probability is <blank>0.591</blank>