A company is implementing synthetic transactions to monitor the performance of its e-commerce website. They want to simulate user interactions such as searching for products, adding items to the cart, and completing a purchase. The team decides to set up a synthetic transaction that runs every 5 minutes to check the response time of the checkout process. If the average response time exceeds 2 seconds over a 30-minute period, they want to trigger an alert. Given that the synthetic transaction takes 1.5 seconds on average, but occasionally spikes to 3 seconds during peak hours, what is the likelihood that the average response time will exceed the threshold of 2 seconds if the transaction is executed 6 times in the 30-minute window?