The table below is a tabulation of opinions of employees of Axolotl Corporation,who were sampled at random from pay records and asked to complete an anonymous job satisfaction survey. Assuming independence,the expected frequency of satisfied hourly employees is:
A) 80.
B) 90.
C) 75.

Question

The table below is a tabulation of opinions of employees of Axolotl Corporation,who were sampled at random from pay records and asked to complete an anonymous job satisfaction survey.  Assuming independence,the expected frequency of satisfied hourly employees is:
A) 80. 
B) 90. 
C) 75.

Quizplus · Accepted Answer

To find the expected frequency of satisfied hourly employees, we need to first find the total number of employees who responded to the survey:

Total number of employees = 120 + 80 + 50 + 30 = 280

Next, we need to find the proportion of satisfied hourly employees:

Proportion of satisfied hourly employees = (120 + 80) / 280 = 0.571

Finally, we multiply this proportion by the total number of employees to find the expected frequency of satisfied hourly employees:

Expected frequency of satisfied hourly employees = 0.571 x 160 = 91.36

Since we can't have fractional employees, we round this to the nearest whole number:

Expected frequency of satisfied hourly employees = 90

Therefore, the best choice is B.

The Table Below Is a Tabulation of Opinions of Employees