Honey is a technology company that provides online coupons to its subscribers. Honey's analytics staff has developed a classification method to predict whether a customer who has been sent a coupon will apply the coupon toward a purchase. For a sample of customers, the following table lists the classification model's estimated coupon usage probability for a customer. For this particular campaign, suppose that when a customer uses a coupon, Honey receives $1 in revenue from the product sponsor. To target the customer with the coupon offer, Honey incurs a cost of $0.05. Honey will offer a customer a coupon as long as the expected profit of doing so is positive. Using the equation Expected Profit of Coupon Offer = P(coupon used) × Profit if coupon used + (1 - P(coupon used)) × Profit if coupon not used determine which customers should be sent the coupon.   Customer Probability of Using Coupon 1 0.48 2 0.34 3 0.28 4 0.11 5 0.06   Determine the expected profit for each customer. Round your answers to the nearest cent. Enter negative value as negative number, if any.   Customer Expected Profit 1 $   2 $   3 $   4 $   5 $     The expected profit is positive for customers  , so these customers should be offered, should not be offered the coupon.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Honey is a technology company that provides online coupons to its subscribers. Honey's analytics staff has developed a classification method to predict whether a customer who has been sent a coupon will apply the coupon toward a purchase. For a sample of customers, the following table lists the classification model's estimated coupon usage probability for a customer. For this particular campaign, suppose that when a customer uses a coupon, Honey receives $1 in revenue from the product sponsor. To target the customer with the coupon offer, Honey incurs a cost of $0.05. Honey will offer a customer a coupon as long as the expected profit of doing so is positive. Using the equation

Expected Profit of Coupon Offer = P(coupon used) × Profit if coupon used + (1 - P(coupon used)) × Profit if coupon not used

determine which customers should be sent the coupon.

 

Customer Probability of Using Coupon
1 0.48
2 0.34
3 0.28
4 0.11
5 0.06

 

Determine the expected profit for each customer. Round your answers to the nearest cent. Enter negative value as negative number, if any.

 

Customer Expected Profit
1 $  
2 $  
3 $  
4 $  
5 $  

 

The expected profit is positive for customers  , so these customers should be offered, should not be offered the coupon.

 
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