A major electronics retailer sensibly believes that customers are more likely to redeem an emailed coupon if it’s worth more money. With x = coupon discount amount ($), and Y = 1 if a customer redeems the coupon, consider a logistic regression model with β₀ = −3.75 and  β₁ = 0.1.
a. Calculate and interpret both p(10) and p(50).
b. Calculate the odds that a $10 coupon is redeemed, then repeat for $50.
c. Interpret β₁ in this context.
d. According to this model, for what discount amount is there a 50–50 chance the coupon will be redeemed?