In a certain community, 40% of the households subscribe to a local newspaper, 30% subscribe to a newspaper of national circulation, and 60% subscribe to at least one of the two types of newspapers....

In a certain community, 40% of the households subscribe to a local newspaper, 30% subscribe to a newspaper of national circulation, and 60% subscribe to at least one of the two types of newspapers. Let E₁
denote the event that a randomly chosen household subscribes to a local newspaper, and let E₂
denote the corresponding event for the national newspaper.

(a) Make a Venn Diagram showing events E₁
and E₂
and shade the region representing the 60% of the households that subscribe to at least one of the two types of newspapers.

(b) Make a Venn Diagram showing events E₁
and E₂
and shade the event that a randomly selected household subscribes to both types of newspapers.

(c) Make a Venn Diagram showing events E₁
and E₂
and shade the event that a randomly selected household subscribes only to a local newspaper.