The Human Resources director of a company is investigating the graduate status and salaries of its employees.

The event $G\,$ is defined as the employee is a graduate.

The event $H\,$ is defined as the employee earns at least $\pounds 40\,000\,$ a year.

For an employee chosen at random,

$\cap H) = 0.26$ , $\cap H') = 0.19$ , $\cap H) = 0.11$ , $\cap H') = 0.44$

Find $P[(G∩H)′]P\left[(G \cap H)'\right]$ .

Determine whether the events $G\,$ and $H\,$ are independent. Fully justify your answer.

The Human Resources director of a company is investigating the graduate status and salaries of its employees.

The event $G\,$ is defined as the employee is a graduate.

The event $H\,$ is defined as the employee earns at least $\pounds 40\,000\,$ a year.

For an employee chosen at random,

$\cap H) = 0.26$ , $\cap H') = 0.19$ , $\cap H) = 0.11$ , $\cap H') = 0.44$

Find $P[(G∩H)′]P\left[(G \cap H)'\right]$ .

Determine whether the events $G\,$ and $H\,$ are independent. Fully justify your answer.

2 Statistics

2 Statistics Questions