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The probability of selecting a male empl...

The probability of selecting a male employee in a company is 0.75 and there are 500 employees in the company. Find the number of female employees in the company.

A

125

B

150

C

275

D

325

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of female employees in the company, we can follow these steps: ### Step 1: Understand the given information We know that: - The probability of selecting a male employee (P(Male)) = 0.75 - Total number of employees = 500 ### Step 2: Calculate the number of male employees The probability of selecting a male employee can be expressed as: \[ P(Male) = \frac{\text{Number of Male Employees}}{\text{Total Employees}} \] Let the number of male employees be \( X \). Therefore, we can write: \[ 0.75 = \frac{X}{500} \] ### Step 3: Solve for \( X \) To find \( X \), we can rearrange the equation: \[ X = 0.75 \times 500 \] Calculating this gives: \[ X = 375 \] So, there are 375 male employees in the company. ### Step 4: Calculate the number of female employees To find the number of female employees, we subtract the number of male employees from the total number of employees: \[ \text{Number of Female Employees} = \text{Total Employees} - \text{Number of Male Employees} \] \[ \text{Number of Female Employees} = 500 - 375 \] \[ \text{Number of Female Employees} = 125 \] ### Conclusion The number of female employees in the company is 125. ---
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