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 E_1 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.

 

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