Question

open-ended questions please show all your work! 27) the table below shows the number of hours worked by employees in a company. the relative frequencies for each class interval are as follows: hours worked (per week) relative frequency 0 - 10 0.05 10 - 20 0.10 20 - 30 0.35 30 - 40 0.40 40 - 50 0.10 construct a histogram of the relative frequency and hours worked. question: if an employee is selected at random, what is the probability that they worked between 20 and 40 hours

Explanation:

Step1: Identify relevant relative frequencies

The class intervals \(20 - 30\) has a relative frequency of \(0.35\), and the class interval \(30 - 40\) has a relative frequency of \(0.40\).

Step2: Sum the relative frequencies

Since probability (using relative - frequency approach) for the range \(20 - 40\) hours is the sum of the relative frequencies of \(20 - 30\) and \(30 - 40\) intervals. Let \(P\) be the probability. Then \(P=0.35 + 0.40\).

Answer:

\(0.75\)