Question

the accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. complete parts (a) and (b) below.

(a) find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male.

the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is .
(round to three decimal places as needed.)

Explanation:

Identify the given values

Using the Conditional Probability Notation knowledge point

$$
LATEXBLOCK0
$$

Formulate the conditional probability

Using the Conditional Probability Notation knowledge point

$$ P(\text{Contribute} \mid \text{Male}) = \frac{N(\text{Male and Contribute})}{N(\text{Male})} $$

Calculate the final probability

Using the Conditional Probability Notation knowledge point

$$
LATEXBLOCK1
$$

Answer:

The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is <blank>0.412</blank>.