Question

the pie chart to the right shows how adults rate their financial shape. suppose 18 people are chosen at random from a group of 300. what is the probability that none of the 18 people would rate their financial shape as fair? (make the assumption that the 300 people are represented by the pie chart.)

the probability that none of the 18 people would rate their financial shape as fair is
(round to six decimal places as needed.)

Explanation:

Calculate population counts

Using the Percentage Calculation knowledge point

$$
LATEXBLOCK0
$$

Formulate probability model

Using the Sampling Without Replacement and Hypergeometric Probability knowledge points

$$
LATEXBLOCK1
$$

Compute hypergeometric probability

Using the Hypergeometric Probability knowledge point

$$
LATEXBLOCK2
$$

Round to six decimal places

Using the Hypergeometric Probability knowledge point

$$ P(X = 0) \approx 0.000153 $$

Answer:

The probability that none of the 18 people would rate their financial shape as fair is <blank>0.000153</blank>
(Round to six decimal places as needed.)