Our company sells merchandise online where a customer can put items into a cart and then make a purchase. Customers now also have the option to directly purchase items without putting them into a cart with the "impulse buy" button, a feature that was added to the site three months ago. We collected data of our customers' behavior on the site, and we notice that since the "impulse buy" button was introduced, a large number of customers who use that featureleave other items in their cartwithout purchasing them. Leaving items in cart without purchase is not atypical for visitors to our website even before the impulse buy button, so if a customer leaves an item in the cart for more than three days, a cookie within their internet browser will trigger a notification to return to their cart to purchase the items left there. We want to study the relationship betweentriggering a cart notificationandusing the impulse buyfeature. Looking at the data, for customers who used the impulse buy button, the probability they triggered the cart notification was 0.43 while the proportion of all customers who both used the impulse buy button and triggered the cart notification was 0.12. If 19% of customers neither triggered the cart notification nor used the impulse buy button, which of the following answers are TRUE? (There might be more than one correct answer).

Our company sells merchandise online where a customer can put items into a cart and then make a purchase. Customers now also have the option to directly purchase items without putting them into a cart with the "impulse buy" button, a feature that was added to the site three months ago. We collected data of our customers' behavior on the site, and we notice that since the "impulse buy" button was introduced, a large number of customers who use that featureleave other items in their cartwithout purchasing them. Leaving items in cart without purchase is not atypical for visitors to our website even before the impulse buy button, so if a customer leaves an item in the cart for more than three days, a cookie within their internet browser will trigger a notification to return to their cart to purchase the items left there. We want to study the relationship betweentriggering a cart notificationandusing the impulse buyfeature. Looking at the data, for customers who used the impulse buy button, the probability they triggered the cart notification was 0.43 while the proportion of all customers who both used the impulse buy button and triggered the cart notification was 0.12. If 19% of customers neither triggered the cart notification nor used the impulse buy button, which of the following answers are TRUE? (There might be more than one correct answer).

Triggering a cart notice and using the impulse buy feature are independent

The proportion of customers who triggered a cart notification is 0.65

The proportion of customers who triggered a cart notification is 0.51

The proportion of customers who used the impulse buy button was 0.37

The proportion of customers who used the impulse buy button was 0.28

93% of customers either used the impulse buy button, triggered the cart notification, or both

81% of customers either used the impulse buy button, triggered the cart notification, or both

It is evident that using the impulse buy button makes it more likely a customer triggers a cart notification