- State the variance and how the normal curve will change when the mean decreases and the standard deviation increases.
- Calculate, with the help of a diagram, the percentage of cups that contain more than 500ml of bubble tea with the help of a diagram.
- Calculate, with the help of a diagram, the amount for the top and bottom kth percentage of the population, where k is your registration number in your class register.
- The following probability statement describes the amount of bubble tea sold. Calculate the value of T with the help of a diagram. P( 560 ml< Amount of Tea< T)=0.05

Case 2 A company offers medical insurance to its employees. A recent study by the HR manager shows the annual medical cost incurred by employees is normally distributed with a mean of $1,280 and a standard deviation of $420. The HR manager is concerned over the increasing cost of medical insurance to the company in recent years.

- State the variance and how the normal curve will change when the mean increases and the standard deviation increases.
- Calculate, with the help of a diagram, the percentage of the employees who incurred more than $1,500 in annual medical costs.
- Calculate, with the help of a diagram, the amount for the top and bottom kth percentage of the population, where k is your registration number in your class register.
- The following probability statement describes the annual medical cost incurred by employees. Calculate the value of C with the help of a diagram.