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Probability Sample Assignment

Questions: - A company has 140 employees, of which 30 are supervisors. Eighty of the employees are married, and 20% of the married employees are supervisors. If a company employee is a randomly selected, what is the probability that the employee is married and is a supervisor?

 

Solutions: - Let M denote married and S denote supervisor. The question is:

                                    P (M∩S) =?

First, calculate the marginal probability.

                                    P (M) = 80/140 = .5714

Then, note that 20% of the married employees are supervisors, which is the conditional probability, P (S|M) = .20. Finally, applying the general law of multiplication gives

                                    P (M∩S) = P (M). P (S|M) = (.5714) (.20) = .1143

Hence, 11.43% of the 140 employees are married and are supervisors.

Other Sample Assignments in Statistics Homework Assignment :

Continious Distribution	Descrete Distributions
Descriptive Statistics	Nonparamatric Statistics
Probability	Sampling And Sampling Distribution
Statistical Inference Estimation For Single Popula	Simple Regression Analysis
Statistical Inference About 2 Population	Time Series Forcasting Index Number
Statistical Quality Control	Correlation
Index Number	Larger Sample Mean Proportions
Non Parametric Test	Probability Theory
Sampling Distribution	Simple and Multiple Linear Regression Analysis
Unvariate Analysis

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