Question

Write the notation, then answer as a fraction, decimal, percent.5-910-1414+YearsTotals0-4126Males172156Females89131444Totals203035151001. What is the probability of randomly selecting a female employee?P( femaks)44 /100=0.442. Given that the employee is male, what is the probability that they have less than 4years of experience?Plo-4 1 563. Given that the employee has between 10 and 14 years of experience, what is theprobability that the employee is female?PC4. Given that the employee has more than 14 years of experience, what is the probabilitythat the employee is male?PC)5. What is the probability of randomly selected an employee with less than 14 years ofexperience given that they are female?

Answer 1

1. the probability of randomly selecting a female employee is:

$P=\frac{44}{100}=0.44$

2. Given that the employee is male, the probability that they have less than 4 years of experience is:

$P=(\frac{12}{100})/(\frac{56}{100})=\frac{12}{56}=0.2143$

3. Given that the employee has between 10 and 14 years of experience, the probability that the employee is female is:

$P=(\frac{13}{100})/(\frac{30}{100})=\frac{13}{30}=0.4333$

4. Given that the employee has more than 14 years of experience, the probability that the employee is male is:

$P=(\frac{21}{100})/(\frac{35}{100})=\frac{21}{35}=0.6$

5. Given that they are female the probability of randomly selected an employee with less than 14 years of experience is:

$P=(\frac{30}{100})/(\frac{44}{100})=\frac{30}{44}=0.6818$