Question

use the probability distribution to complete parts (a) through (e).
the probability distribution of the number of overtime hours worked in one week per employee
x 0 1 2 3 4 5 6
p(x) 0.032 0.049 0.13 0.303 0.227 0.168 0.091

(a) find the probability of randomly selecting an employee whose overtime is one or two hours.
the probability is
(type an integer or a decimal. do not round.)

Explanation:

Step1: Identify relevant probabilities

We need \( P(x = 1) \) and \( P(x = 2) \). From the table, \( P(1)=0.049 \) and \( P(2)=0.13 \).

Step2: Add the probabilities

For mutually exclusive events (overtime hours of 1 or 2 are distinct), \( P(1 \text{ or } 2)=P(1)+P(2) \). So, \( 0.049 + 0.13 = 0.179 \).

Answer:

\( 0.179 \)