Question

the following data were gathered for 110 workers in two departments. of these workers, 49 were in department a, 6 workers in department a earned more than $80,000, and 34 workers in department b earned $80,000 or less. complete parts (a) through (d) below.
(a) find the probability that a worker is in department a earning $80,000 or less.
(type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Find number of workers in Department A earning $80,000 or less

There are 49 workers in Department A and 6 workers in Department A earned more than $80,000. So the number of workers in Department A earning $80,000 or less is $49 - 6=43$.

Step2: Calculate the probability

The total number of workers is 110. The probability $P$ that a worker is in Department A earning $80,000 or less is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{43}{110}\approx 0.39$.

Answer:

$0.39$