Answer:
a. 0.46
b. 0.48
Step-by-step explanation:
a. To find the probability that the selected employee is a female, we can use the formula:
Probability = Number of favorable outcomes / Total number of outcomes
Number of female employees = Total employees - Number of male employees
Number of female employees = 120 - 65
Number of female employees = 55
Probability of selecting a female employee = 55 / 120
Probability ≈ 0.46
So, the probability that the selected employee is a female is approximately 0.46.
b. To find the probability that the selected employee is a female given that the employee is married, we can use the formula for conditional probability:
Probability (female | married) = Probability (female and married) / Probability (married)
Number of married female employees = 40
Total number of married employees = Number of male employees who are married + Number of female employees who are married
Total number of married employees = 43 + 40
Total number of married employees = 83
Probability (female and married) = 40 / 120
Probability (female and married) ≈ 0.33
Probability (married) = 83 / 120
Probability (married) ≈ 0.69
Probability (female | married) = 0.33 / 0.69
Probability (female | married) ≈ 0.48
So, the probability that the selected employee is a female given that the employee is married is approximately 0.48.
Based on the calculations, the most likely correct answers are:
a. The probability that the selected employee is a female is approximately 0.46.
b. The probability that the selected employee is a female given that the employee is married is approximately 0.48.
