Please do not copy and paste the wrong answer

D-Mart is a small convenience store close to the campus. The store has a single checkout counter staffed by one employee at all times. Customers arrive at the checkout counter following a Poisson process with an average rate of 6 customers/hr. The time taken by the employee to complete the checkout process is also random with a mean of 3 minutes a standard deviation of 1.5 minutes

1- How long (in minutes) does the entire checkout process (waiting in line and then checking out) take for an average customer? provide at least three decimals

2- On average, how many customers are present in the checkout area (i.e., either checking out or waiting in line)? provide at least three decimal places

3- What is the probability that the checkout process (waiting in line and then checking out) for a customer takes more than 5 minutes? Please enter your answer as a value between 0 and 1. provide at least three decimal places,

4- What is the probability that there is one or more customers waiting in line for the checkout process? Please enter your answer as a value between 0 and 1. provide at least three decimal places. Hint: You need to carefully think about how many customers should be in the checkout area before a line starts forming