Question

drag each tile to the correct box. three groups of employees are evaluated at worked. the table shows the results of the employee evaluations. an employee is selected at random. based on the data, order the events from least to greatest according to their probability.

group	a	b	c	total
meets	27	19	23	69
exceeds	20	31	25	76
total	54	54	54	162

an employees performance exceeds expectations, and the employee is from group c. an employees performance is below expectations, and the employee is from group a. an employees performance meets expectations, and the employee is from group b.

Explanation:

Step1: Calculate probabilities for each event

• Probability of an employee from group A with below - expectations performance: $P(A_{below})=\frac{7}{162}$
• Probability of an employee from group B with meets - expectations performance: $P(B_{meets})=\frac{19}{162}$
• Probability of an employee from group C with exceeds - expectations performance: $P(C_{exceeds})=\frac{25}{162}$

Step2: Compare the probabilities

• $\frac{7}{162}<\frac{19}{162}<\frac{25}{162}$

Answer:

1. An employee is from group A and the performance is below expectations (least probability)
2. An employee is from group B and the performance meets expectations
3. An employee is from group C and the performance exceeds expectations (greatest probability)