different types of advertising methods are being considered for a companys new product: a magazine ad (m), a television ad (t), a newspaper coupon (n), a radio ad (r), a coupon mailer (c), and a social media ad (s). the coupons are both good for a discount of ten dollars off the item. the dots in the venn diagram below show the various methods. an advertising specialist considers a method at random to review.
- let ( a ) be the event of selecting a method that gives a discount.
- let ( b ) be the event of selecting a printed method.
move the dots on the venn diagram to place the dots in the correct region.
provide your answer below:

Question

Accepted Answer

# Answer:
To solve this, we analyze each advertising method:

### Step 1: Define Events
- Event $ A $: Method gives a discount. The coupon methods (newspaper coupon $ N $, coupon mailer $ C $) give a discount.
- Event $ B $: Method is printed. Printed methods are magazine ad $ M $, newspaper coupon $ N $, coupon mailer $ C $ (since they are printed media).

### Step 2: Classify Each Method
- **Magazine ad ($ M $)**: Not a discount (so not in $ A $), printed (in $ B $) → Region: Only $ B $.
- **Television ad ($ T $)**: Not a discount (not in $ A $), not printed (not in $ B $) → Region: Outside both $ A $ and $ B $.
- **Newspaper coupon ($ N $)**: Discount (in $ A $), printed (in $ B $) → Region: Intersection of $ A $ and $ B $ ($ A \cap B $).
- **Radio ad ($ R $)**: Not a discount (not in $ A $), not printed (not in $ B $) → Region: Outside both $ A $ and $ B $.
- **Coupon mailer ($ C $)**: Discount (in $ A $), printed (in $ B $) → Region: Intersection of $ A $ and $ B $ ($ A \cap B $).
- **Social media ad ($ S $)**: Not a discount (not in $ A $), not printed (not in $ B $) → Region: Outside both $ A $ and $ B $.

### Step 3: Place Dots
- **Only $ B $ (printed, no discount)**: Place $ M $ here.
- **$ A \cap B $ (printed + discount)**: Place $ N $ and $ C $ here.
- **Outside $ A $ and $ B $ (neither printed nor discount)**: Place $ T $, $ R $, $ S $ here.

So, the dots for $ M $ go in the "Only $ B $" region, $ N $ and $ C $ go in the " $ A \cap B $" region, and $ T $, $ R $, $ S $ go in the "Outside $ A $ and $ B $" region.

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QUESTION IMAGE

Question

Explanation:

Answer:

Step 1: Define Events

Step 2: Classify Each Method

Step 3: Place Dots